If the polynomial 2 x-3 is a factor of the polynomial2 x3-9 x2-x-b- The value of b is

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

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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_______

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
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

Suggest Corrections

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

Q. Find the value of

b

for which

(2 x + 3)

is factor of

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

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

Find the value of b, if (x - 3) is a factor of $x^{3} - 9 x^{2}$ - bx + 81 = 0

Q. The factors of polynomial

p (x) = x^{2} + 2 x + 1

are x + a and x + b. Find the value of a + b.

Join BYJU'S Learning Program

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_______