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How do I match these polynomial and what are the correct matches?!

How Do I Match These Polynomial And What Are The Correct Matches class=

Sagot :

Add the polynomials:

[tex](-4x^2-3x+6)+(6x^2-2x+1)[/tex]

Removing the parentheses:

[tex]-4x^2-3x+6+6x^2-2x+1[/tex]

Collecting like terms:

[tex]2x^2-5x+7[/tex]

Find the opposite of:

[tex]2x^2+x-7[/tex]

We change the signs of all terms:

[tex]-2x^2-x+7[/tex]

Subtract:

[tex](-4x^2+2x-1)-(-2x^2+3x+6)[/tex]

Remove the parentheses, but the last one requires changing the signs of the second polynomial (find the opposite):

[tex]-4x^2+2x-1+2x^2-3x-6[/tex]

Collecting like terms:

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

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