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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 57 Page 27

Begin with removing parentheses.

3n^3-6n^2+10

Practice makes perfect

To find the sum, we will first remove the parentheses and then simplify the expression.

( 4+n^3+3n^2 )+( 2n^3-9n^2+6 )

Remove parentheses

4+n^3+3n^2+2n^3-9n^2+6

The next 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.

4 + n^3 + 3n^2 + 2n^3 - 9n^2 + 6 We found three pairs of like terms.

Two constant terms.
Two n^3-terms.
Two n^2-terms.

To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

4+n^3+3n^2+2n^3-9n^2+6

CommutativePropAdd

Commutative Property of Addition

4+6+n^3+2n^3+3n^2-9n^2

Add and subtract terms

10+3n^3-6n^2

CommutativePropAdd

Commutative Property of Addition

3n^3-6n^2+10

Subchapter links

Exercises p.25-27