(2x^3+6x-3)+(3x^3-2x^2+6)

Question

I don't know how to simplify this polynomial 

Answer 1

A key idea of algebra is to COMBINE LIKE TERMS.  For x cubed, you have two terms; their coefficients are 2 & 3.  Therefore you get 5 x cubed.  Now look for x square terms--there's only one, so in your answer you'll have negative 2 x squared.

 

The answer also contains 6x and a constant 3, by combining +6 with -3.

 

So in the end you have four terms, one for each DEGREE 3, 2 1 and 0:

 

5x³ -2x² +6x +3.  That wasn't so hard, was it??  Remember this stuff!

Answer 2

1) distribute your + sign

 

2x^3+6x-3+3x^3-2x^2+6

 

2) combine like terms

 

2x^3+3x^3 = 5x^3

-3+6= 3

 

5x^3-2x^2+6x+3