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Test: Division Algorithm for Polynomials for Class 9 2024 is part of Class 9 preparation. The Test: Division Algorithm for Polynomials questions and answers have been prepared
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Test: Division Algorithm for Polynomials - Question 1

The expression that should be subtracted from the polynomial f(x) = x^{4} + 2x^{3}-13x^{2} – 12x + 21 so that the resulting polynomial is exactly divisible by g(x) = x^{2} – 4x + 3 is

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Test: Division Algorithm for Polynomials - Question 2

If (x + 1) is a factor of x^{2} – 3ax + 3a – 7, then the value of a is

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Test: Division Algorithm for Polynomials - Question 3

The value of quadratic polynomial f (x) = 2x^{2}– 3x- 2 at x = -2 is ……

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Test: Division Algorithm for Polynomials - Question 4

If the degree of the dividend is 5 and the degree of the divisor is 3, then the degree of the quotient will be

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Test: Division Algorithm for Polynomials - Question 6

On dividing f(x) = x^{3} – 3x^{2} + x + 2 by a polynomial g(x) the quotient and remainder q(x) and r(x) are (x – 2) and (-2x + 4) respectively, then g(x) is

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Test: Division Algorithm for Polynomials - Question 7

The three zeroes of the polynomial 2x^{3} + 5x^{2} – 28x – 15 _____

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Test: Division Algorithm for Polynomials - Question 8

If two of the zeroes of the polynomial f (x) = x^{4} – 3x^{3} – x^{2} + 9x – 6 are -√3 and √3 then all the zeroes are

Test: Division Algorithm for Polynomials - Question 9

If (x + 1) is a factor of 2x^{3} + ax^{2} + 2bx + 1, then find the values of a and b given that 2a – 3b = 4.

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Test: Division Algorithm for Polynomials - Question 10

Which of the given is the set of zeroes of the polynomial p(x) = 2x^{3} + x^{2} – 5x + 2

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Test: Division Algorithm for Polynomials - Question 11

The value of p when x^{3} + 9x^{2} + px – 10 is exactly divisible by (x+ 2) is ____

Test: Division Algorithm for Polynomials - Question 12

When the polynomial f(x) = 4x^{3} + 8x^{2} + 8x + 7 is divided by the polynomial g(x) = 2x^{2} – x + 1, the quotient and the remainder are

Test: Division Algorithm for Polynomials - Question 13

When x^{2} – 2x + k divides the polynomial x^{4} – 6x^{3} + 16x^{2} – 25x + 10, the remainder is (x + a). The value of a is _________

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Test: Division Algorithm for Polynomials - Question 14

If the degree of the divisor g(x) is one then the degree of the remainder r(x) is

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Test: Division Algorithm for Polynomials - Question 15

If the polynomial (2x + 3) is a factor of the polynomial 2x^{3} + 9x^{2} – x – b. The value of b is_______

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Test: Division Algorithm for Polynomials - Question 16

If two of the zeros of the polynomial x^{4} – 17x^{3} + 90x^{2} – 166x + 92 are (7 + √3) and (7 – √3), then the other two zeros are _________

Test: Division Algorithm for Polynomials - Question 17

If f(x) is divided by g(x), g(x) ≠ 0, then there exist two polynomials q(x) and r(x) such that

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Test: Division Algorithm for Polynomials - Question 18

The expression that should be added to the polynomial f(x) = x^{4} + 2x^{3} – 2x^{2} + x + 1, so that it should be exactly divisible by (x^{2} + 2x – 3) is

Test: Division Algorithm for Polynomials - Question 19

When x^{3} – 3x^{2} + 5x – 3 is divided by x^{2} – k , the remainder is 7x + a . Then the value of k is_____

Test: Division Algorithm for Polynomials - Question 20

If two zeroes of a polynomial 4x^{4} -20x^{3} +23 x^{2} + 5x – 6 are ½ and – ½, the how many more zeroes does it have?

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