Question

I need this answered in ONE minute

Place the indicated product in the proper location on the grid. Write your answer in descending powers of x. (x^ 2 + 3x + 1)(x^2 + x + 2)

Answer 1

`x^4 + 4x^3 + 6x^2 + 7x + 2`

Explanation:

We are asked to multiply the given polynomials.

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

Multiply each term of the first polynomial to each term of the second polynomial.

`x^ 2 * (x^2 + x + 2) = x^4 + x^3 + 2x^2`

`3x * (x^2 + x + 2) = 3x^3 + 3x^2 + 6x`

`1 * (x^2 + x + 2) = x^2 + x + 2`

Add the results

`(x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)`

Combine the like terms

`x^4 + 4x^3 + 6x^2 + 7x + 2`

The answer is written in descending powers of x.