Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 17

MEDIUM

9th CBSE

IMPORTANT

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In polynomial, find the value of $a$ , if $x - a$ is a factor:

$x^{5} - a^{2} x^{3} + 2 x + a + 1$

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Important Questions on Factorization of Polynomials

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 18

In each of the following two polynomials, find the value of $a$ , if $x + a$ is a factor of:

$x^{3} + a x^{2} - 2 x + a + 4$

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 18

If $x + a$ is a factor of $x^{4} - a^{2} x^{2} + 3 x - a$ , then find the value of $a$ .

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 19

Find the values of

p

and

q

so that

x^{4} + p x^{3} + 2 x^{2} - 3 x + q

is divisible by

(x^{2} - 1)

.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 20

Find the values of

a

and

b

so that

(x + 1)

and

(x - 1)

are factors of

x^{4} + a x^{3} - 3 x^{2} + 2 x + b

.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 21

If

x^{3} + a x^{2} - b x + 10

is divisible by

x^{2} - 3 x + 2

, find the values of

a

and

b

.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 22

If both

x + 1

and

x - 1

are factors of

a x^{3} + x^{2} - 2 x + b

, find the values of

a

and

b

.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 23

What must be added to

x^{3} - 3 x^{2} - 12 x + 19

so that the result is exactly divisible by

x^{2} + x - 6

?.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 6 - Factorization of Polynomials>EXERCISE>Q 24

What must be subtracted from

x^{3} - 6 x^{2} - 15 x + 80

so that the result is exactly divisible by

x^{2} + x - 12

?