Questions: If (P(x)=x^2+x+2) and (Q(x)=8 x^2-2), find (P(6)). (P(6)=) (Type an integer or a fraction.)

If (P(x)=x^2+x+2) and (Q(x)=8 x^2-2), find (P(6)). (P(6)=) (Type an integer or a fraction.)
Transcript text: ork: Assignment \#13 - HW Score: 24\%, 24 of 100 5.2 Homework 5.2 .13 points Points: 0 of 6 Save list If $P(x)=x^{2}+x+2$ and $Q(x)=8 x^{2}-2$, find $P(6)$. \[ P(6)= \] $\square$ (Type an integer or a fraction.)
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Solution

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Solution Steps

To find \( P(6) \), we need to substitute \( x = 6 \) into the polynomial \( P(x) = x^2 + x + 2 \) and evaluate the expression.

Step 1: Substitute \( x = 6 \) into \( P(x) \)

To find \( P(6) \), substitute \( x = 6 \) into the polynomial \( P(x) = x^2 + x + 2 \).

Step 2: Evaluate the Expression

Calculate the value of the polynomial: \[ P(6) = 6^2 + 6 + 2 \]

Step 3: Simplify the Expression

Perform the arithmetic operations: \[ P(6) = 36 + 6 + 2 = 44 \]

Final Answer

\(\boxed{44}\)

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