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

Question

asked Oct 4, 2020 44.2k views

1 Answer

Bhargav Sejpal · Answer 1 · 2020-10-10T17:13:54+0000

Answer:

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:

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