Problem

Evaluate the polynomial expression \(2x^3 - 5x^2 + 3x - 7\) for \(x = -2\).

Answer

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Answer

Finally, perform the addition and subtraction from left to right: \(-16 - 20 - 6 - 7 = -49\)

Steps

Step 1 ：First, substitute \(-2\) for \(x\) in the expression, which gives: \(2(-2)^3 - 5(-2)^2 + 3(-2) - 7\)

Step 2 ：Then, simplify the exponents: \(-16 - 20 - 6 - 7\)

Step 3 ：Finally, perform the addition and subtraction from left to right: \(-16 - 20 - 6 - 7 = -49\)

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