s104012
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Using the polynomials Q = 3x 2 + 5x - 2, R = 2 - x 2, and S = 2x + 5, perform the indicated operation: Q - [R + S]

Respuesta :

LeviKS
(3x^2+5x-2)- ((2-x^2+2x+5))
(3x^2+5x-2)- ((7-x^2+2x))
Since no more can be added or broken down
3x^2+5x-2 - 7-x^2+2x
2x^2+7x-9

Answer:

[tex]4x^2+3x-9[/tex]

Step-by-step explanation:

Given the polynomials:

[tex]Q = 3x^2+5x-2[/tex]

[tex]R = 2-x^2[/tex]

[tex]S = 2x+5[/tex]

We have to  perform the indicated operation Q - [R + S]

[tex]Q - [R + S] = 3x^2+5x-2-[2-x^2+2x+5][/tex]

⇒[tex]Q - [R + S] = 3x^2+5x-2-2+x^2-2x-5[/tex]

Combine like terms;

⇒[tex]Q - [R + S] = 4x^2+3x-9[/tex]

Therefore, Q - [R + S] is, [tex]4x^2+3x-9[/tex]

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