Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
3. Modeling With Quadratic Functions
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Exercise 43 Page 214

Recall that two or more terms in an algebraic expression are like terms if they have the same variable(s) with the same exponent(s).

4x^2-x-10

Practice makes perfect
The first step in simplifying this expression is to remove the parentheses. We will do it by distributing - 2.
4x^2-2(5-x)-3x
4x^2-10+2x-3x
The first step in simplifying this expression is to identify which, if any, terms are like terms. Recall that two or more terms in an algebraic expression are like terms if they have the same variable(s) with the same exponent(s). 4x^2 - 10 + 2x - 3x In this case, we have an x^2-term, two x-terms, and a constant. Only the x-terms can be combined.
4x^2-10+2x-3x
4x^2-10-x
Although this is a correct answer, usually in expressions the most complex terms go first, and the constant goes last. Therefore, we will rearrange the terms in our expression.
4x^2-10-x
4x^2-x-10