Solve for p p(2)=-x^3-x^2+5x+5

Problem

p(2)=−x3−x2+5*x+5

Solution

1. Identify the task as evaluating the polynomial expression at the specific value x=2

2. Substitute the value 2 for every instance of x in the given expression.

p(2)=−(2)3−(2)2+5*(2)+5

3. Calculate the powers of 2 within the expression.

p(2)=−8−4+5*(2)+5

4. Multiply the remaining terms.

p(2)=−8−4+10+5

5. Simplify the expression by adding and subtracting the constants from left to right.

p(2)=−12+10+5

p(2)=−2+5

p(2)=3

Final Answer

p(2)=3

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