Question

How do you express the following as a product of its factors?

`(x+1)(3x^3+8x^2+7x+2)`

Answer 1

`(x + 1)(x + 1)(x + 1)(3 x + 2)`

Explanation:

The question is asking you to factorise the expression. Without knowing one of the factors of the cubic expression, it is very tedious to factorise, but there are several methods that you can use online, such as https://www.wikihow.com/Factor-a-Cubic-Polynomial

I used wolfram alpha to factorise:
`3x^3+8x^2+7x+2=(x + 1)^2 (3 x + 2)`
(http://www.wolframalpha.com/input/?i=3x%5E3%2B8x%5E2%2B7x%2B2)

So the overall expresion is:
`(x + 1)(x + 1)(x + 1)(3 x + 2)`