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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-7)^2(2t+1)-(4t^2+2t+11) 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 :

We have the next polynomial

[tex]\mleft(4t-7\mright)^2\mleft(2t+1\mright)-\mleft(4t^2+2t+11\mright)[/tex]

First, we solve the square

[tex](16t^2-56t+49)(2t+1)-\mleft(4t^2+2t+11\mright)[/tex]

Then we do the product of polynomials

[tex]32t^3-112t^2+98t+16t^2-56t+49-4t^2-2t-11[/tex]

Then we sum like terms

[tex]\begin{gathered} 32t^3-112t^2+16t^2-4t^2+98t-2t-56t+49-11 \\ \end{gathered}[/tex][tex]\begin{gathered} 32t^3-100t^2+40t+38 \\ \end{gathered}[/tex]

ANSWER

[tex]32t^3-100t^2+40t+38[/tex]

The degree of the polynomial is 3

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