Solve 3(-1)^3-7(-1)^2+5(-1)-6

$$3 ( - 1 ) ^ { 3 } - 7 ( - 1 ) ^ { 2 } + 5 ( - 1 ) - 6$$

Evaluate

$$-21$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$3\left(-1\right)-7\left(-1\right)^{2}+5\left(-1\right)-6$$

Multiply 3 and -1 to get -3.

$$-3-7\left(-1\right)^{2}+5\left(-1\right)-6$$

Calculate -1 to the power of 2 and get 1.

$$-3-7\times 1+5\left(-1\right)-6$$

Multiply 7 and 1 to get 7.

$$-3-7+5\left(-1\right)-6$$

Subtract 7 from -3 to get -10.

$$-10+5\left(-1\right)-6$$

Multiply 5 and -1 to get -5.

$$-10-5-6$$

Subtract 5 from -10 to get -15.

$$-15-6$$

Subtract 6 from -15 to get -21.

$$-21$$

Factor

$$-21$$