Solve f(-2)=-3(-2)^3+7(-2)^2+5(-2)-1

$$f ( - 2 ) = - 3 ( - 2 ) ^ { 3 } + 7 ( - 2 ) ^ { 2 } + 5 ( - 2 ) - 1$$

Evaluate

$$41$$

Solution Steps

Calculate -2 to the power of 3 and get -8.

$$-3\left(-8\right)+7\left(-2\right)^{2}+5\left(-2\right)-1$$

Multiply -3 and -8 to get 24.

$$24+7\left(-2\right)^{2}+5\left(-2\right)-1$$

Calculate -2 to the power of 2 and get 4.

$$24+7\times 4+5\left(-2\right)-1$$

Multiply 7 and 4 to get 28.

$$24+28+5\left(-2\right)-1$$

Add 24 and 28 to get 52.

$$52+5\left(-2\right)-1$$

Multiply 5 and -2 to get -10.

$$52-10-1$$

Subtract 10 from 52 to get 42.

$$42-1$$

Subtract 1 from 42 to get 41.

$$41$$

Factor

$$41$$