Question

Polynomial (3X³- 5x² + Kx -2) and ( -x³- x²+7x+k) leaves the same remainder when divided by X+2. Find the value of k

Answer 1

Answer: -12

Step-by-step explanation:

Substituting x = -2 for both equations

since remainder is same for both polynomials

3(-2)∧3 - 5(-2)∧2 + (-2)k -2 = -(-2)∧3 - (-2)∧2 + 7(-2) + k

3(-8) - 5(4) -2k -2 = 8 - 4 - 14 + k

-36 - 2k = -10 + k

3k = -36

k = -12