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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Chapter
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BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

Suppose that your friend factors 36 x 2 y + 48 x y 2 as follows:

36 x 2 y + 48 x y 2 = 4 x y ( 9 x + 12 y )

= ( 4 x y ) ( 3 ) ( 3 x + 4 y )

= 12 x y ( 3 x + 4 y )

Is this a correct approach? Would you have any suggestion to offer your friend?

To determine

To factor:

36x2y+48xy2

Explanation

The given polynomial is 36x2y+48xy2.

36x2y+48xy2=4xy(9x+12y)=(4xy)(3)(3x+4y).

The polynomial is said to be completely factored, when a polynomial inside the parentheses cannot be factored further

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