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the sum of −2x2 + x + 31 and 3x2 + 7x − 8 can be written in the form ax2 + bx + c, where a, b, and c are constants. What is the value of a + b + c ?

Respuesta :

calculista

Answer:

Part 1) [tex]a=1,b=8,c=23[/tex]

part 2) [tex]a+b+c=32[/tex]

Step-by-step explanation:

we have

[tex](-2x^{2} +x+31)+(3x^{2}+7x-8)[/tex]

Adds the terms

Group terms that contain the same variable

[tex](-2x^{2}+3x^{2})+(x+7x)+(31-8)[/tex]

Combine like terms

[tex](x^{2})+(8x)+(23)[/tex]

where

[tex]a=1,b=8,c=23[/tex]

therefore

[tex]a+b+c=1+8+23=32[/tex]

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