2 years ago

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

1 answer:

8 0

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

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

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