SOLUTION: How do I add the following polynomials using the vertical method: 5x^2+2x-4, x^2-2x-3, and 2x^2-4x-3?

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: How do I add the following polynomials using the vertical method: 5x^2+2x-4, x^2-2x-3, and 2x^2-4x-3?      Log On

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Question 83225: How do I add the following polynomials using the vertical method: 5x^2+2x-4, x^2-2x-3, and 2x^2-4x-3?
Answer by jim_thompson5910(28598) About Me  (Show Source):
You can put this solution on YOUR website!
Line up the equations vertically
5x%5E2%2B2x-4
x%5E2-2x-3
2x%5E2-4x-3

Notice how the x squared terms make a column, the x terms make a column, and the constant terms make a column. Add these columns separately

5x%5E2%2Bx%5E2%2B2x%5E2=8x%5E2 Add the x squared terms

2x-2x-4x=-4x Add the x terms

-4-3-3=-10 Add the constant terms

So after adding we get

8x%5E2-4x-10