Question

for the given polynomial p(x) and c = -2, use the remainder theorem to find p(c). p(x) = (2x⁴ + 9x² + 2) p(c) for the given value of c is equal to \square.

Explanation:

Step1: Substitute $x=-2$ into $P(x)$

$P(-2)=2(-2)^4 + 9(-2)^2 + 2$

Step2: Calculate each power term

$(-2)^4=16$, $(-2)^2=4$

Step3: Compute each product term

$2\times16=32$, $9\times4=36$

Step4: Sum all terms

$P(-2)=32 + 36 + 2=34$

Answer:

34