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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 35 Page 82

Try to think of the greatest common factor between the coefficients and between the variables separately.

12(x+2y)

Practice makes perfect

We want to find the greatest common factor (GCF) of the terms in the given expression. To do so we will consider the coefficients and variables separately. 12 x+ 24 y Let's start by finding the GCF of 12 and 24. Factors of12:& 1, 2, 3, 4, 6,and 12 Factors of24:& 1,2,3,4, 6, 8, 12,and 24 We found that the GCF of the coefficients is 12. We see that there are no common variables. Now we can write the given expression in terms of the GCF. 12x+24y ⇔ 12* x+ 12* 2y Finally, we will factor out the GCF. 12* x+ 12* 2y ⇔ 12(x+2y)

Checking Our Answer

Check your answer ✓

To check our answer, we can apply the Distributive Property and compare the result with the given expression.

12(x+2y)

Distribute 12

12x+24y

After applying the Distributive Property, the result is the same as the given expression. Therefore, we can be sure our solution is correct!

Subchapter links

1 Adding and Subtracting Polynomials p.81

2 Multiplying a Polynomial by a Monomial p.81

3 Multiplying Polynomials p.81

4 Special Products p.82

5 Using the Distributive Property p.82

6 Solving x^2+bx+c=0 p.83

7 Solving ax^2+bx+c=0 p.83

8 Differences of Squares p.84

9 Perfect Squares p.84

10 Roots and Zeros p.85