Question

Without actual division,show that (x⁴-x³-11x²-x+a) is divisible by (x+3).
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Answer 1

Answer:

Correct option is

A

12

The value of a for which (x

4

−x

3

−11x

2

+7x+a) is divisible by (x+3).

We can find this by subtracting x=−3 in the polynomial and equate it to zero, since (x+3) is the root ( zero ) of the polynomial.

⇒(−3)

4

−(−3)

3

−11(−3)

2

+7(−3)+a=0

⇒81+27+9(−11)−21+a=0

⇒a=12.

Hence, the answer is 12.

Step-by-step explanation:

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