Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
7. Linear, Quadratic, and Exponential Models
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Exercise 29 Page 594

Remember, only like terms can be combined.

I

Practice makes perfect
The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined. (4x^3+2x^2+1)+(3x^2+8x+2)Since no numbers and minus signs are preceding the parentheses, we can remove them. 4x^3 + 2x^2 + 1 + 3x^2+ 8x + 2 In this case, we have one x^3-term, two x^2-terms, one x-term, and two constants. Both x^2-terms and constants can be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
4x^3+2x^2+1+3x^2+8x+2
4x^3+2x^2+3x^2+8x+1+2
4x^3+5x^2+8x+3
This corresponds to option I.