Question

9. Find the value of 'k', if the following polynomial p(x), when divided by (x + 3), leaves remainder
5*

p (x) = kx3 + 9x2 + 4x - 10​

Answer 1

Answer:

k = 2

Step-by-step explanation:

p(x) = kx^3 + 9x^2 + 4x - 10

g(x) = x+3

x = -3

p(-3)= k(-3)^3 + 9(-3)^2 + 4(-3) - 10

according to question,

-27k + 81 -12 -10 = 5

-27k = -59 + 5

k = -54/-27

k= 2