Solve f(x)=x^31(x^2+3)(x+2)

$$f ( x ) = x ^ { 31 } ( x ^ { 2 } + 3 ) ( x + 2 )$$

Evaluate

$$\left(x+2\right)\left(x^{2}+3\right)x^{31}$$

Solution Steps

Use the distributive property to multiply x^{31} by x^{2}+3.

$$\left(x^{33}+3x^{31}\right)\left(x+2\right)$$

Use the distributive property to multiply x^{33}+3x^{31} by x+2.

$$x^{34}+2x^{33}+3x^{32}+6x^{31}$$

Expand

$$x^{34}+2x^{33}+3x^{32}+6x^{31}$$

Solution Steps

Use the distributive property to multiply x^{31} by x^{2}+3.

$$\left(x^{33}+3x^{31}\right)\left(x+2\right)$$

Use the distributive property to multiply x^{33}+3x^{31} by x+2.

$$x^{34}+2x^{33}+3x^{32}+6x^{31}$$