When the expression\[1-1x+2x^2-2+3x-3x^2+4-4x+5x^2\]is written in the form $ax^2 +bx+c$, where $a$, $b$, and $c$ are non-zero integers, what is the value of $a + b + c$?
We need to combine like terms.
(2x^2-3x^2+5x^2) + (-1x + 3x - 4x) + (1 - 2 + 4)
4x^2 - 2x + 3.
4-2+3 = 5
I hope this helped. :))
=^._.^=
1 - 1x + 2x^2 - 2 + 3x - 3x^2 + 4 - 4x + 5x^2 collect like terms
5x^2 - 3x^2 + 2x^2 - 4x + 3x - 1x + 4 - 2 + 1
4x^2 - 2x + 3
a = 4
b = -2
c = 3
a + b + c = 4 - 2 + 3 = 5