QUESTION 3

Given $P(x)=-2 x^{2}+10 x+15$ find the function value $P(-2)$
a) -13
b) 27
c) 3
d) -43
a.. b.
C. .
d..

Answer

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Answer

The function value $P(-2)$ is $\boxed{-13}$

Steps

Step 1 ：Substitute -2 into the function: $P(-2) = -2(-2)^2 + 10(-2) + 15$

Step 2 ：Simplify the exponent: $P(-2) = -2(4) + 10(-2) + 15$

Step 3 ：Perform the multiplication: $P(-2) = -8 - 20 + 15$

Step 4 ：Perform the addition and subtraction: $P(-2) = -28 + 15$

Step 5 ：Simplify the expression: $P(-2) = -13$

Step 6 ：The function value $P(-2)$ is $\boxed{-13}$