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subtract the following polynomials2x−6 and 7 x ^2 + 6 x + 4as well as7 x ^2 + 6 x + 4 and 2x-6

Sagot :

We are given the following polynomials:

[tex]\begin{gathered} 2x-6 \\ 7x^2+6x+4 \end{gathered}[/tex]

Now, we subtract the second polynomial from the first:

[tex]2x-6-(7x^2+6x+4)[/tex]

Now, apply the distributive property on the parenthesis. To do that we change the sign of each of the terms inside:

[tex]2x-6-7x^2-6x-4[/tex]

Now, we associate like terms.:

[tex](2x-6x)+(-6-4)-7x^2[/tex]

Now, we solve the operations of the like terms:

[tex]-4x-10-7x^2[/tex]

Since we can't simplify any further this is the final answer.

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