Question

for the given polynomial p(x) and c = -4, use the remainder theorem to find p(c)
p(x) = (2x⁴ - 8x² - 6)
p(c) for the given value of c is equal to

Explanation:

Step1: Substitute $x=-4$ into $P(x)$

$P(-4)=2(-4)^4 - 8(-4)^2 - 6$

Step2: Calculate each power term

$(-4)^4=256$, $(-4)^2=16$

Step3: Compute each product term

$2\times256=512$, $8\times16=128$

Step4: Evaluate the final expression

$P(-4)=512 - 128 - 6=186$

Answer:

186