Question

If x3

– 7x2 + kx + 15 is exactly divisible by (x – 3), then find the value of k​

Answer 1

Answer:

k = 7

Step-by-step explanation:

If x^3 - 7x^2 + kx + 15 is divisible by x -3

then x-3 is a factor of p (x).

so ,using remainder theorem

x-3 = 0

x = 3

Substituting value of x in p(x)-

3^3 - 7(3)^2 + k (3) + 15 = 0

27 - 63 + 3k + 15 = 0

-21 + 3k =0

3k = 21

k = 21/3

k = 7

Ans