Question

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 ?

Answer 1

Part 1)
`a=1,b=8,c=23`

part 2)
`a+b+c=32`

Explanation:

we have

`(-2x^(2) +x+31)+(3x^(2)+7x-8)`

Adds the terms

Group terms that contain the same variable

`(-2x^(2)+3x^(2))+(x+7x)+(31-8)`

Combine like terms

`(x^(2))+(8x)+(23)`

where

`a=1,b=8,c=23`

therefore

`a+b+c=1+8+23=32`