Solve f(x)-(2x^2+5x)(x-3)(x+2)

$$f ( x ) - ( 2 x ^ { 2 } + 5 x ) ( x - 3 ) ( x + 2 )$$

Evaluate

$$x\left(30+f+17x-3x^{2}-2x^{3}\right)$$

Solution Steps

Use the distributive property to multiply 2x^{2}+5x by x-3 and combine like terms.

$$fx-\left(2x^{3}-x^{2}-15x\right)\left(x+2\right)$$

Use the distributive property to multiply 2x^{3}-x^{2}-15x by x+2 and combine like terms.

$$fx-\left(2x^{4}+3x^{3}-17x^{2}-30x\right)$$

To find the opposite of 2x^{4}+3x^{3}-17x^{2}-30x, find the opposite of each term.

$$fx-2x^{4}-3x^{3}+17x^{2}+30x$$

Expand

$$30x+fx+17x^{2}-3x^{3}-2x^{4}$$

Solution Steps

Use the distributive property to multiply 2x^{2}+5x by x-3 and combine like terms.

$$fx-\left(2x^{3}-x^{2}-15x\right)\left(x+2\right)$$

Use the distributive property to multiply 2x^{3}-x^{2}-15x by x+2 and combine like terms.

$$fx-\left(2x^{4}+3x^{3}-17x^{2}-30x\right)$$

To find the opposite of 2x^{4}+3x^{3}-17x^{2}-30x, find the opposite of each term.

$$fx-2x^{4}-3x^{3}+17x^{2}+30x$$