Question

Simplify the expression to a polynomial in standard form:

(x + 3)(2x^2+ 3x + 7) PLEASEEE HELP ME WITH THISS

Answer 1

`2x^3+9x^2+16x+21`

Explanation:

So we have the expression:

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

Use the distribute property. Multiply each term on the right by (x+3):

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

Distribute further:

`=(2x^3+6x^2)+(3x^2+9x)+(7x+21)`

Combine like terms:

`=(2x^3)+(6x^2+3x^2)+(9x+7x)+21\\=2x^3+9x^2+16x+21`

A polynomial in standard form has terms in descending order based on degree.

And we have that. Thus, we are done :)