Question

Can someone answer this question for me? Thank you.

Answer 1

`\boxed{\sf \ \ \ 3x^3-9x^2-30x=3x(x-5)(x+2) \ \ \ }`

Explanation:

hello

step 1 - put 3x in factor

`3x^3-9x^2-30x=3x(x^2-3x-10)`

step 2 - factorise the quadratic form

product of zeros are -10 and the sum is 3, the roots are 5 and -2, as below

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

so the answer is

`3x^3-9x^2-30x=3x(x-5)(x+2)`

hope this helps