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Intermediate Algebra

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

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

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

For Problems 63 – 84, factor each polynomial completely. Indicate any that are not factorable using integers.

20 x 2 + 3 x y 2 y 2

To determine

To find:

The factorization of the given polynomial.

Explanation

Approach:

To factorize the trinomial in the form: ax2 + bx + c

1) Factor out common factor from all the terms.

2) Find the product of 1st and last term (a×c).

3) Find the factors of ac in such way that addition or subtraction of those factors is the middle term.

4) Write the center term using the sum of the two new factors, including the proper signs.

5) Group the terms to form pairs - the first two terms and the last two terms. Factor each pair by finding common factors.

6) Factor out the shared (common) trinomial parenthesis.

Calculation:

Consider, 20x2+3xy2y2

Use middle term splitting method.

20x2+3xy2y2=20x2+8xy5xy2y2=4x(5x+

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