Question

Find the value of K for which (x - 1) is a factor of 2x^3+9x^2+x+ k

Answer 1

Answer:

p(x) = 2x^3 + 9x ^2 + x + k

If (x-1) is a factor of p(x), then p(1) = 0

That is, 2(1^3) + 9(1^2) + 1 + k = 0

=> 2(1) + 9(1) + 1 + k = 0

=> 2 + 9 + 1 + k = 0

=> 12 + k = 0

=> k = - 12

Therfore the value of k must be => -12 (negative 12)

Hope it helps