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juin [17]
3 years ago
9

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

Mathematics
1 answer:
Vinvika [58]3 years ago
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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