SOLUTION: My teacher is killing me with these Algebra problems =( Could someone maybe help me out with them? 3x+4 + x-6 -------- 3x^2-2 <that was my answer (but is of it is wrong)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: My teacher is killing me with these Algebra problems =( Could someone maybe help me out with them? 3x+4 + x-6 -------- 3x^2-2 <that was my answer (but is of it is wrong)       Log On


   



Question 169914: My teacher is killing me with these Algebra problems =( Could someone maybe help me out with them?
3x+4
+ x-6
--------
3x^2-2 2x-1
+ -x+1
--------
2x^2-0 < again my wrong answer

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To add these expressions, simply combine like terms. Remember, "like" terms are terms that share the same variable AND the same exponent. So in the first example, 3x and x are like terms. Also, 4 and -6 are like terms.


So 3x+x can be written as 3x+1x. Now just add the coefficients 3 and 1 to get 3+1=4. So 3x+x=4x


Do the same with the constants (the terms without variables). So 4+(-6)=4-6=-2

# 1


  3x+4
+  x-6
--------
  4x-2





So %283x%2B4%29%2B%28x-6%29=4x-2


# 2


  2x-1
+ -x+1
--------
   x+0





So %282x-1%29%2B%28-x%2B1%29=x