Question

what is the product of (x^2 + 3x + 1)(x^2 + x + 2)

Answer 1

Answer: $x^4+4x^3+6x^2+7x+2$

Step-by-step explanation:

 To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

$b^m*b^n=b^{(m+n)}$

- Add the like terms.

Therefore, you obtain that the product is:

$(x^2+3x+1)(x^2+x+2)=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2$