Question

For what value of k minus 2 is a zero of the polynomial 3x square + 4 x + 2 k

Answer 1

P(x) = 3x^2 + 4x + 2k

=> P(-2) = 0

=> 3(-2)^2 +4(-2) + 2k = 0

=> 3 (4) - 8 + 2k = 0

=> 12 - 8 + 2k = 0

=> 2k + 4 = 0

=> 2k = - 4

=> k = - 2

Answer 2

p(X) = 3X² + 4X + 2K

p(-2) = 3(-2)²+4(-2)+2K

0 = 12-8+2K

-12+8 = 2K

K = -2

Hope this helps you out.