Question

Place the indicated product in the proper location on the grid (x^2+3x+1)(x^2+x+2)

Answer 1

The product of
`(x^2+3x+1)(x^2+x+2)` is
`x^3+4x^3+6x^2+7x+2`

Explanation:

We need to find the product of
`(x^2+3x+1)(x^2+x+2)`

We need to multiply the first term with the second term.

Multiplying:

`(x^2+3x+1)(x^2+x+2)\\=x^2(x^2+x+2)+3x(x^2+x+2)+1(x^2+x+2)\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\Adding\,\,like\,\,terms\,\,\\=x^4+x^3+3x^3+2x^2+3x^2+x^2+6x+x+2\\=x^3+4x^3+6x^2+7x+2\\`

So, the product of
`(x^2+3x+1)(x^2+x+2)` is
`x^3+4x^3+6x^2+7x+2`