Question

If 2x3 – 4x2 + kx + 10 is divided by (x + 2), the remainder is 4. Find the value of k using remainder theorem. Please help :)​

Answer 1

The polynomial remainder theorem states that the remainder of the division of a polynomial
`P(x)` by
`x-a` is equal to
`P(a)`.

Therefore

`P(-2)=4\\2\cdot(-2)^3 - 4\cdot(-2)^2 + k\cdot(-2) + 10=4\\-16-16-2k=-6\\-2k=26\\k=-13`