Question

for the given polynomial p(x) and the given c, use the remainder theorem to find p(c)
p(x)=x³ + 6x² - 7x + 2; 2
p(c)=□
(simplify your answer )

Explanation:

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

$P(2) = 2^3 + 6(2)^2 -7(2) + 2$

Step2: Calculate each term

$2^3=8$, $6(2)^2=6\times4=24$, $-7(2)=-14$

Step3: Sum all terms

$P(2)=8 + 24 -14 + 2$

Answer:

20