The maximum number of zeroes that a polynomial of degree 4 can have is
(a) One
(b) Two
(c) Three
(d) Four

1 Answer

Answer :

(d) Four

Related questions

Description : In fig. given below, the number of zeroes of the polynomial f(x) is a) 1 (b) 2 (c) 3 (d) None

Last Answer : (c) 3

Description : Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is: (a) Intersects x-axis (b) Intersects y-axis (c) Intersects y-axis or x-axis (d) None of the above

Last Answer : (a) Intersects x-axis

Description : If α and β are the zeroes of the polynomial 5x 2 – 7x + 2, then sum of their reciprocals is: (a) 14/25 (b) 7/5 (c) 2/5 (d) 7/2

Last Answer : (d) 7/2

Description : If ̳α ‘ and ̳β ‘ are the zeroes of a quadratic polynomial x 2 − 5x + b and α − β = 1, then the value of ̳b‘ is (a) – 5 (b) 6 (c) 5 (d) – 6

Last Answer : (b) 6

Description : If α and 1/α are the zeroes of the polynomial ax2 + bx + c, then value of c is (a) 0(b) a (c) -a (d) 1

Last Answer : (a) 0

Description : If α, β are the zeroes of the polynomial x2 – 16, then αβ(α + β) is (a) 0 (b) 4 (c) -4 (d) 16

Last Answer : (a) 0

Description : The zeroes of the quadratic polynomial x 2 + 99x + 127 are (a) both positive (b) both negative (c) one positive and one negative(d) both equal

Last Answer : (b) both negative

Description : The degree of the polynomial, x 4 – x 2 +2 is (a) 2 (b) 4 (c) 1 (d) 0

Last Answer : (b) 4

Description : The number of polynomials having zeroes as -2 and 5 is: (a) 1 (b) 2 (c) 3 (d) More than 3

Last Answer : (d) More than 3

Description : If α , β are the zeroes of f(x) = px 2 – 2x + 3p and α + β = αβ then the value of p is: (a) 1/3 (b) -2/3 (c) 2/3 (d) -1/3

Last Answer : (c) 2/3

Description : Zeroes of p(x) = x 2 -27 are: (a) ±9√3 (b) ±3√3 (c) ±7√3 (d) None of the above

Last Answer : (b) ±3√3

Description : Value of polynomial when x = -1 is: a) 12 b) 13 c) 14 d) -12

Last Answer : a) 12

Description : Solution of this polynomial is : a) x =2 , x = -3 b) x =2 , x = 3 c) x = -2 , x = -3 d) x =-2 , x = 3

Last Answer : b) x =2 , x = 3

Description : Which of the following is the correct identification of the polynomial: a) Rubina says it‘s a linear polynomial. b) Shruti calls it a quadratic polynomial. c) Both calls it a trinomial. d) Both b) and c) are correct.

Last Answer : d) Both b) and c) are correct.

Description : The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16

Last Answer : (a) 12

Description : If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial. (a) x-5 (b) (x-5)(x+5) (c) x 2 – 5 (d) x 2 – 25

Last Answer : (c) x 2 – 5

Description : The graph of the polynomial ax2 + bx + c is an upward parabola if (a) a > 0 (b) a < 0 (b) a = 0 (d) None

Last Answer : (a) a > 0

Description : The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely (a) (−2/3, 0) (b) (0, −2/3) (c) (2/3, 0) (d)( 2/3, −2/3)

Last Answer : (c) (2/3, 0)

Description : If one zero of the quadratic polynomial x 2 + 3x + k is 2, then the value of k is (a) 10 (b) –10 (c) 5 (d) –5

Last Answer : (b) –10

Description : If the product of two zeroes of polynomial 2x3 + 3x2 – 5x – 6 is 3, then find its third zero. -Maths 10th

Last Answer : The third zero is 1. Step-by-step explanation: Given the polynomial The product of two zeroes is 3 we have to find the third zero As product of two zeroes is 3 Let ab=3 Therefore, 3c=3 ⇒ c=1 hence, the third zero is 1.

Description : One of the zeroes of the polynomial 2x2 + 7x – 4 is -Maths 9th

Last Answer : (b) Let p (x) = 2x2 + 7x-4 = 2x2 + 8x-x-4 [by splitting middle term] = 2x(x+ 4)-1(x+ 4) = (2x-1)(x+ 4) For zeroes of p(x), put p(x) = 0 ⇒ (2x -1) (x + 4) = 0 ⇒ 2x-1 = 0 and x+4 = 0 ⇒ x = 1/2 and x = -4 Hence, one of the zeroes of the polynomial p(x) is 1/2.

Description : Find the zeroes of the polynomial in each of the following, -Maths 9th

Last Answer : (i) Given, polynomial is p(x) = x- 4 For zero of polynomial, put p(x) = x-4 = 0 ⇒ x= 4 Hence, zero of polynomial is 4. (ii) Given, polynomial is g(x) = 3-6x For zero of polynomial, put g(x) ... polynomial h(y) = 2 y For zero of polynomial, put h(y) = 0 2y= 0 Hence, the zero of polynomial is 0,

Description : Find the zeroes of the polynomial p(x)= (x – 2)2 – (x+ 2)2. -Maths 9th

Last Answer : Given, polynomial is p(x) = (x – 2)2 – (x+ 2)2 For zeroes of polynomial, put p(x) = 0 (x – 2)2 – (x+ 2)2 = 0 (x-2 + x+2)(x-2-x-2) = 0 [using identity, a2-b2 =(a-b)(a + b)] ⇒ (2x)(-4) = 0

Description : One of the zeroes of the polynomial 2x2 + 7x – 4 is -Maths 9th

Last Answer : (b) Let p (x) = 2x2 + 7x-4 = 2x2 + 8x-x-4 [by splitting middle term] = 2x(x+ 4)-1(x+ 4) = (2x-1)(x+ 4) For zeroes of p(x), put p(x) = 0 ⇒ (2x -1) (x + 4) = 0 ⇒ 2x-1 = 0 and x+4 = 0 ⇒ x = 1/2 and x = -4 Hence, one of the zeroes of the polynomial p(x) is 1/2.

Description : Find the zeroes of the polynomial in each of the following, -Maths 9th

Last Answer : (i) Given, polynomial is p(x) = x- 4 For zero of polynomial, put p(x) = x-4 = 0 ⇒ x= 4 Hence, zero of polynomial is 4. (ii) Given, polynomial is g(x) = 3-6x For zero of polynomial, put g(x) ... polynomial h(y) = 2 y For zero of polynomial, put h(y) = 0 2y= 0 Hence, the zero of polynomial is 0,

Description : Find the zeroes of the polynomial p(x)= (x – 2)2 – (x+ 2)2. -Maths 9th

Last Answer : Given, polynomial is p(x) = (x – 2)2 – (x+ 2)2 For zeroes of polynomial, put p(x) = 0 (x – 2)2 – (x+ 2)2 = 0 (x-2 + x+2)(x-2-x-2) = 0 [using identity, a2-b2 =(a-b)(a + b)] ⇒ (2x)(-4) = 0

Description : If the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k. -Maths 9th

Last Answer : p(x) = (k2 – 14) x2 – 2x – 12 Here a = k2 – 14, b = -2, c = -12 Sum of the zeroes, (α + β) = 1 …[Given] ⇒ − = 1 ⇒ −(−2)2−14 = 1 ⇒ k2 – 14 = 2 ⇒ k2 = 16 ⇒ k = ±4

Description : If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k. -Maths 9th

Last Answer : Here a = 3, b = -k, c = 6 Sum of the zeroes, (α + β) = − = 3 …..(given) ⇒ −(−)3 = 3 ⇒ k = 9

Description : Is polynomial y4 + 4y2 + 5 have zeroes or not? -Maths 10th

Last Answer : Y4+4y2+5=y4+4y2+4 +1 =(y2+2)2+1 The first term being square,it will be equal to zero or greater than zero. Therefore (y2+2)2+1 will not be zero for any value of y. Therefore given polynomial have no zeroes.

Description : If the zeros of the polynomial `64x^3 - 144 x^2 + 92x – 15` are in AP, then the difference between the largest and the smallest zeroes of the polynomi

Last Answer : If the zeros of the polynomial `64x^3 - 144 x^2 + 92x - 15` are in AP, then the difference between the largest and ... 1 C. `(1)/(2)` D. `(3)/(8)`

Description : The zeroes of the quadratic polynomial `x^(2) - 24x + 143` are

Last Answer : The zeroes of the quadratic polynomial `x^(2) - 24x + 143` are

Description : The value of sin A or cos A never exceeds ————a. One b. Two c. Three d Four

Last Answer : a. One

Description : From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?

Last Answer : Answer: 3720.

Description : In the following figure ABCD is a cyclic quadrilateral, the sum of degree measures of ∠A and ∠D is: (SOURCE: Fig. 3.7, Exercise 3.7, Chapter 3, PAIR of LINEAR EQUATIONS in TWO VARIABLES, NCERT, Class X) (a) 120° (b) 180° (c) 230°(d) 250°

Last Answer : (c) 230°

Description : There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students (a) 52 (b) 56 (c) 48 (d) 63

Last Answer : (a) 52

Description : The position of the fourth pole D so that the four points A, B, C and D form a parallelogram will be: (a) (5, 2) (b) (1, 5) (c) (1, 4) (d) (2, 5)

Last Answer : (b) (1, 5)

Description : Points P,Q,R(in this order) divide the line joining the points A(-2,2) and B(2,8) into four equal parts. The coordinates of the point Q are: (a) (-1,7/2) (b) (1,13/2) (c) (0,5) (d) (5,1/2)

Last Answer : (c) (0,5)

Description : If it takes five minutes to boil one egg, how long will it take to boil four eggs?

Last Answer : Answer: Five minutes.

Description : The decimal expansion of the rational number 23/(2 2 . 5) will terminate after (a) one decimal place (b) two decimal places (c) three decimal places (d) more than 3 decimal places

Last Answer : (b) two decimal places

Description : When a number "n" is divided by 5, the remainder is 0 and when three times a number "n" is divided by 5 the remainder is what?

Last Answer : Since it’s not homework, the answer is 0.

Description : If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?

Last Answer : None of the above. Let x be the three digit number and y be the two digit number. x - y =989. x = 989 + y. x is obviously greater than 989 and less than 1000 (since it is three digits). Since y is a two digit number ... 989 + 10 = 999. We can't go any higher, so x =999 and y=10. x+y = 999+10 = 1009

Description : _______ can detect burst error of length less than or equal to degree of the polynomial and detects burst errors that affect odd number of bits. a. Hamming Code b. CRC c. VRC d. None of the above

Last Answer : b. CRC

Description : How many combinations with three different colored die can you make the sum 15?

Last Answer : 10. Try it for yourself and see.

Description : Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?

Last Answer : Answer: 167 minutes.

Description : A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?

Last Answer : Answer: 360 years old.

Description : Three cards are drawn at random from an ordinary pack of cards. Find out the probability that they will consist of a king, aqueen and an ace?

Last Answer : Answer: 64/2210.

Description : The sum of three consecutive integers is 36. What is the largest of the three integers? The correct answer is 13.?

Last Answer : The sum of three consecutive integers is 36. (x - 1) + x + (x + 1) = 36 13 is the largest of the three integers.

Description : Degree of the polynomial 4x4 + Ox3 + Ox5 + 5x+ 7 is -Maths 9th

Last Answer : (a) Degree of 4x4 + Ox3 + Ox5 + 5x + 7 is equal to the highest power of variable x. Here, the highest power of x is 4, Hence, the degree of a polynomial is 4.

Description : Degree of the zero polynomial is -Maths 9th

Last Answer : (d) The degree of zero polynomial is not defined, because in zero polynomial, the coefficient of any variable is zero i.e., Ox2 or Ox5,etc. Hence, we cannot exactly determine the degree of variable.

Description : Degree of the polynomial 4x4 + Ox3 + Ox5 + 5x+ 7 is -Maths 9th

Last Answer : (a) Degree of 4x4 + Ox3 + Ox5 + 5x + 7 is equal to the highest power of variable x. Here, the highest power of x is 4, Hence, the degree of a polynomial is 4.