Question

Find the value of a for which the polynomial (x-x³-11x²-x+a) is divisible by (x+3)​

Answer 1

Answer:

12

Step-by-step explanation:

The value of a for which (x4−x3−11x2+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.