Question

for the given polynomial p(x) and c = -3, use the remainder theore p(x) = (4x⁴ + 6x² + 6) p(c) for the given value of c is equal to .

Explanation:

Step1: Substitute $c=-3$ into $P(x)$

$P(-3)=4(-3)^4 + 6(-3)^2 + 6$

Step2: Calculate each power term

$(-3)^4=81$, $(-3)^2=9$

Step3: Compute each product term

$4\times81=324$, $6\times9=54$

Step4: Sum all terms

$324 + 54 + 6$

Answer:

384