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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. (2x^2+2x+1)(4x-1) 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=


Answer :

Solution:

Given:

[tex](2x^2+2x+1)(4x-1)[/tex]

To get the product of the polynomial; we use the distributive property of multiplication.

[tex]a(b+c)=ab+ac[/tex]

[tex]\begin{gathered} (4x-1)(2x^2+2x+1) \\ 4x(2x^2+2x+1)-1(2x^2+2x+1) \\ =8x^3+8x^2+4x-2x^2-2x-1 \\ \text{Collecting similar terms together and simplifying further;} \\ =8x^3+8x^2-2x^2+4x-2x-1 \\ =8x^3+6x^2+2x-1 \end{gathered}[/tex]

Therefore, the product of the polynomials is;

[tex]8x^3+6x^2+2x-1[/tex]

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