Question

if the polynomial x^4 -6x^2 -25x+ 10 is divided by another polynomial x^2- 2x + k the remainder comes out to be x+ a , find k and a​

Answer 1

Answer:

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.