Question

How do you factor `2x ^ { 4} + 10x ^ { 3} - 18x ^ { 2} - 90x`?

Answer 1

`2x^4+10x^3-18x^2-90x=2x(x+5)(x+3)(x-3)`

Explanation:

`2x^4+10x^3-18x^2-90x`

= `2x(x^3+5x^2-9x-45)`

= `2x(x^2(x+5)-9(x+5))`

= `2x(x+5)(x^2-9)`

= `2x(x+5)(x+3)(x-3)`