Question

for the given polynomial p(x) and c = - 1, use the remainder theorem to find p(c).
p(x) = (3x⁴ - 5x² - 5)
p(c) for the given value of c is equal to \boxed{}.

Explanation:

Step1: Substitute $x=-1$ into $P(x)$

$P(-1)=3(-1)^4 -5(-1)^2 -5$

Step2: Calculate each power term

$(-1)^4=1$, $(-1)^2=1$

Step3: Compute the polynomial value

$P(-1)=3(1) -5(1) -5 = 3 -5 -5$

Step4: Simplify the expression

$3 -5 -5 = -7$

Answer:

$-7$