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Pearson Algebra 1 Common Core, 2015
PA
Pearson Algebra 1 Common Core, 2015 View details
8. Factoring by Grouping
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Exercise 1 Page 531

Factor out the greatest common factor of the first pair of terms and the greatest common factor of the second pair of terms.

(4r^2+3)(5r+2)

Practice makes perfect

To factor by grouping, we will take the greatest common factor of the first pair of terms and the greatest common factor of the second pair of terms.

20r^3 + 8r^2+15r+6
FactorOut

Factor out 4r^2

4r^2( 5r+2 ) + 15r + 6
FactorOut

Factor out 3

4r^2( 5r+2 ) +3( 5r+2 )

Notice that (5r+2) is a factor of both terms, so we can factor it out.

4r^2( 5r+2 ) +3( 5r+2 )
FactorOut

Factor out ( 5r+2 )

(5r+2)(4r^2+3)
CommutativePropMult

Commutative Property of Multiplication

(4r^2+3)(5r+2)
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arrow_right Lesson Check p.531
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arrow_right Practice and Problem-Solving Exercises p.531-533
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arrow_right Standardized Test Prep p.533
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arrow_right Mixed Review p.533
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