Question

If the polynomials ax³+3x²-3 leaves the remainder 6 when divided by x-4,then find the value of a ​

Answer 1

Answer:

the answer is

Step-by-step explanation:

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Answer 2

Answer:

• The value of a is -39/64.

Given:

• The polynomials ax³ + 3x² - 3 leaves the remainder 6 when divided by x - 4.

To find:

• The value of a.

Solution:

By Remainder theorem:

When f (x) is divided by x - $\alpha$ then the remainder can be given by f ($\alpha$).

Here comparing x - 4 with x - $\alpha$

we get, $\alpha$ = 4

=> f (x) = ax³ + 3x² - 3

=> Remainder = f (4)

=> a (4)³ + 3 (4)² - 3 = 6

=> 64a + 48 - 3 = 6

=> 64a = 9 - 48

=> 64a = -39

=> a = -39/64

Therefore, the value of a is -39/64.