Question

Multiply the following polynomials. Once simplified, name the resulting polynomial. (2n + 2) (6n + 1)name:

Answer 1

$(2n+2)(6n+1)$

To multiply polynomials you need to multiply each term in the first polynomial for each term in the second polynomial:

$\begin{gathered} =(2n\cdot6n)+(2n\cdot1)+(2\cdot6n)+(2\cdot1) \\ =12n^2+2n+12n+2 \end{gathered}$

To simplify you add just similar terms:

$=12n^2+14n+2$You have a trinomial grade 2 (12n²+14n+2)