Question

If the polynomials p(x) = 3 x3 + 4 x2 + kx – 2 and q(x) = - x 3 - x 2 + 7x + k, leave the same remainder when divided by (x+2), find the value of k.​

Answer 1

If the polynomials p(x) = 3 x3 + 4 x2 + kx – 2 and q(x) = - x 3 - x 2 + 7x + k, leave the same remainder when divided by (x+2), find the value of k.

I hope it helps you...

Answer 2

Step-by-step explanation:

x + 2 = 0

x = -2

$3 {x}^{3} + 4 {x}^{2} + kx - 2 = 0 \\ 3( - 2) {}^{3} + 4 ( - 2) {}^{2} + k( - 2) - 2 = 0 \\ 3 \times ( - 8) + 4 \times (4) - 2k - 2 = 0 \\ - 24 + 16 - 2k - 2 = 0 \\ - 26 + 16 - 2k = 0 \\ - 10 = 2k \\ - 5 = k$

I hope it helps you