Combine like terms: 6x² + 3x - 2 + 2x² – x + 7
There are 6 terms
+6x², +3x, -2, +2x², -1x, and +7. (Notice that -x is the same as -1x)
+6x² and +2x² are like terms because the only difference between them
is their coefficients, +6 and +2, so we combine the coefficients and get +8,
then we place +8 in front of the x², the part of those two terms that are the
same. So we end up with +8x²
+3x and -1x are like terms because the only difference between them
is their coefficients, +3 and -1, so we combine the coefficients and get +2,
then we place +2 in front of the x, the part of those two terms that are the
same. So we end up with +2x
-2 and +7 are like terms, so we just combine them and get +5,
So they are
+8x², +2x and +5, so we write
+8x² + 2x + 5
and we can erase the introductory +
8x² + 2x + 5
Edwin
AnlytcPhil@aol.com