If the polynomial 2 x-3 is a factor of the polynomial 2 x3-9 x2-x-b- The value of b is

The correct option is D 15If the polynomial (2x + 3 ) is a factor of the polynomial 2x3 + 9x2 x – b , then the remainder on division of the polyno ...

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Standard X

Mathematics

Factor Theorem

If the polyno...

Question

If the polynomial (2x + 3 ) is a factor of the polynomial
2x³ + 9x² - x – b. The value of b is_______

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Solution

The correct option is D
15

If the polynomial (2x + 3 ) is a factor of the polynomial

2x³ + 9x² - x – b , then the remainder on division of the polynomial

2x³ + 9x² - x – b by (2x + 3 ) is zero.

On long division , of the polynomial

2x³ + 9x² - x – b by (2x + 3 ) ,the remainder is –b + 15

-b + 15 = 0

⇒ b = 15

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Similar questions

Q. Find the value of

b

for which the polynomial

2 x^{3} - 9 x^{2} - x - b

is divisible by

2 x + 3

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).

f(x) = $2 x^{3} - 9 x^{2}$ + x + 12, g(x) = 3 - 2x

Q. Find the value of

b

for which

(2 x + 3)

is factor of

2 x^{3} + 9 x^{2} - x - b .

Which of the following is not a polynomial ?

(a) $\sqrt{3} x^{2} - 2 \sqrt{3} x + 5$ (b) $9 x^{2} - 4 x + \sqrt{2}$

Q. If

(2 x - 3)

is a factor of

2 x^{3} - 9 x^{2} + x + k

then find value of

k

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If the polynomial (2x + 3 ) is a factor of the polynomial 2x3 + 9x2 - x – b. The value of b is_______

If the polynomial (2x + 3 ) is a factor of the polynomial
2x³ + 9x² - x – b. The value of b is_______