find the product of (x2 + 3x + 1)(x2 + x + 2)

Accepted Solution

Answer: [tex]x^4+4x^3+6x^2+7x+2[/tex]Step-by-step explanation: To solve the exercise you must apply the following proccedure: - Apply the distributive property. - Keep on mind that when you multiply two powers with equal base, you must add the exponents. - Add like terms. Therefore, you obtain the following product: [tex]=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+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[/tex]