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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

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 class=

Respuesta :

Ok, so

We want to simplify the product:

[tex](4t^2+7t)(-3t^2+4)[/tex]

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

[tex]\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}[/tex]

In descending order:

[tex]-12t^4-21t^3+16t^2+28t[/tex]

And, the degree of our simplified answer is 4.

The simplified answer can be written as:

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

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