Question

When the polynomial P(x) = 6x3 + kx2 − x + 6 is divided by x − 1, the remainder is 0. Which of the following is also a factor of P(x)?

3x − 2

2x + 3

x + 1

3x + 2 HELPPPPPPPPP

Answer 1

Solve 6x3 − x2 − 27x − 20 = 0 by factoring.

Answer 2

According to remainder theorem x-1 is a factor

Find the other factor.

Answer 3

idk that's why I'm asking

Answer 4

if x-1 is a factor of P(x), then P(1) = 0


P(x) = 6x^3 + kx^2 - x + 6


P(1) = 6(1)^3 + k(1)^2 - (1) + 6 ... replace every x with 1


0 = 6(1)^3 + k(1)^2 - (1) + 6 ... replace P(1) with 0


now solve for k