Question

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).

P(x) = 5x³-4x² -5x+7; -2
P(c) =
(Simplify your answer.)
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Answer 1

The value is P(c) is -49.

To find P(c) using the remainder theorem, where P(x) = 5x³ - 4x² - 5x + 7 and c = -2, we can simply substitute c into the polynomial P(x) and evaluate the result.

So, P(c) = 5(-2)³ - 4(-2)² - 5(-2) + 7

= 5(-8) - 4(4) + 10 + 7

= -40 - 16 + 10 + 7

= -49

Therefore, P(-2) = -49.