Question

Multiplying polynomials (x2 + 3x + 1)(x2 + x + 2)

Answer 1

We need to do the product

`(x^2+3x+1)\cdot(x^2+x+2)`

and this is equal to

`\begin{gathered} (x^2\cdot x^2)+(x^2\cdot x)+(x^2\cdot2)+(3x\cdot x^2)+(3x\cdot x)+(3x\cdot2)+(1\cdot x^2)+(1\cdot x)+(1\cdot2) \\ =x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2 \\ =x^4+(x^3+3x^3)+(2x^2+3x^2+x^2)+(6x+x)+2 \\ =x^4+4x^3+6x^2+7x+2 \end{gathered}`

The answer is

`\begin{equation*} x^4+4x^3+6x^2+7x+2 \end{equation*}`