Solve P(x)=(x+4)*2(x+1)(x-2)

$$P ( x ) = ( x + 4 ) \times 2 ( x + 1 ) ( x - 2 )$$

Evaluate

$$2\left(x-2\right)\left(x+1\right)\left(x+4\right)$$

Solution Steps

Use the distributive property to multiply x+4 by 2.

$$\left(2x+8\right)\left(x+1\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of 2x+8 by each term of x+1.

$$\left(2x^{2}+2x+8x+8\right)\left(x-2\right)$$

Combine 2x and 8x to get 10x.

$$\left(2x^{2}+10x+8\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of 2x^{2}+10x+8 by each term of x-2.

$$2x^{3}-4x^{2}+10x^{2}-20x+8x-16$$

Combine -4x^{2} and 10x^{2} to get 6x^{2}.

$$2x^{3}+6x^{2}-20x+8x-16$$

Combine -20x and 8x to get -12x.

$$2x^{3}+6x^{2}-12x-16$$

Expand

$$2x^{3}+6x^{2}-12x-16$$

Solution Steps

Use the distributive property to multiply x+4 by 2.

$$\left(2x+8\right)\left(x+1\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of 2x+8 by each term of x+1.

$$\left(2x^{2}+2x+8x+8\right)\left(x-2\right)$$

Combine 2x and 8x to get 10x.

$$\left(2x^{2}+10x+8\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of 2x^{2}+10x+8 by each term of x-2.

$$2x^{3}-4x^{2}+10x^{2}-20x+8x-16$$

Combine -4x^{2} and 10x^{2} to get 6x^{2}.

$$2x^{3}+6x^{2}-20x+8x-16$$

Combine -20x and 8x to get -12x.

$$2x^{3}+6x^{2}-12x-16$$