Question

for the given polynomial p(x) and c = - 3, use the remainder theorem to find p(c)
p(x) = (3x⁴ + 6x² + 1)

p(c) for the given value of c is equal to \square

Explanation:

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

$P(-3)=3(-3)^4 + 6(-3)^2 + 1$

Step2: Calculate each power term

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

Step3: Compute multiplied terms

$3\times81=243$, $6\times9=54$

Step4: Sum all terms

$243 + 54 + 1=100$

Answer:

100