Question

for what value of k,is -2 a zero of the polynomial at 3x^2+4x+2k

Answer 1

Hey friend, ☺️ here is your answer ____________________________
$p(x) \: = \: 3 {x}^{2} + 4x + 2k \\ now \: x = - 2 \\ p( - 2) = 3 {( - 2)}^{2} + 4( - 2) + 2k \\ p( - 2) = 0 \\ 0 = 3 \times - 2 \times - 2 \: +4 \times - 2 + 2k \\ 0 = 12 - 8 + 2k \\ 0 = 4 + 2k \\ 2k = - 4 \\ k = - 2$
Hope this helps you...