Question

Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (14c^2+4c)(2c^2-3c) This simplifies to: AnswerThe degree of our simplified answer is:

Answer 1

1. We need to apply the following:

$\mleft(a+b\mright)\mleft(c+d\mright)=ac+ad+bc+bd$$\mleft(14c^2+4c\mright)\mleft(2c^2-3c\mright)=14c^2\cdot\: 2c^2+14c^2\mleft(-3c\mright)+4c\cdot\: 2c^2+4c\mleft(-3c\mright)$

2. Simplify

$\begin{gathered} =28c^4-42c^3+8c^3-12c^2 \\ =28c^4-34c^3-12c^2 \end{gathered}$

You can also write this as

28c^4-34c^3-12c^2

the degree of this is 4