Question

Find the value of p such that (x - 1) is the factor of the polynomial x3+ 10x2 + px.

Answer 1

Hii friend,

(X-1) is a factor of the polynomial X³+10X²+PX.

X-1 = 0

X = 1

P(X) = X³+10X²+PX.

P(1) = (1)³ + 10 × (1)² + P × 1

=> 1 + 10 + P = 0

=> P +11 = 0

=> P = -11.


HOPE IT WILL HELP YOU.... :-)