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.(4t^2+7t)(-3t^2+4)This simplifies to: AnswerThe degree of our simplified answer is: Answer

Answer 1

Ok, so

We want to simplify the product:

$(4t^2+7t)(-3t^2+4)$

For this, we have to multiply each term by all the terms inside the other bracket as follows:

$\begin{gathered} (4t^2)(-3t^2)+(4t^2)(4)+(7t)(-3t^2)+(7t)(4) \\ -12t^4+16t^2-21t^3+28t \\ -12t^4+16t^2-21t^3+28t \end{gathered}$

In descending order:

$-12t^4-21t^3+16t^2+28t$

And, the degree of our simplified answer is 4.

The simplified answer can be written as:

-12t^4-21t^3+16t^2+28t