Question

Simplify the expression to a polynomial in standard form:
(3x − 2)(x^2 – 2x + 1)

Answer 1

The polynomial in the standard form of this expression would be
`3x^3-8x^2+7x-2`.

Explanation:

If you are trying to expand a binomial multiplied by a trinomial, you need to multiply each term from the binomial to each term in the trinomial. In this case,
`(3x-2)(x^2-2x+1)=3x^3-6x^2+3x-2x^2+4x-2=3x^3-8x^2+7x-2`, so that will be the answer.