Factor the given polynomial
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Factor the given polynomial

Factor the given polynomial

[From: ] [author: ] [Date: 11-11-12] [Hit: ]
)(x + ?Now you need two factors of 3 that add to 7 when one of them is multiplied by 2. The only integer factors of 3 are 1 and 3.2.The 12 and 75 have a common factor of 3.The 4a^2 - 25b^2 is a difference of two squares factoring.......
Factor the given polynomial completely:
1. 2px^2 + 7px +3p
2. 24a^2 - 150b^2

-
1. 2px^2 + 7px +3p

Factor out the common p term first:

p(2x^2 + 7x + 3)

The 2x^2 term requires that 2x be in one factor and x in the other:

(2x +- ?)(x +- ?)

Since the 3 is positive, the signs in the factors are the same. Since the 7x is positive, they're both plus signs:

(2x + ?)(x + ?)

Now you need two factors of 3 that add to 7 when one of them is multiplied by 2. The only integer factors of 3 are 1 and 3. Arrange them so that the 3 gets multiplied by the 2x:

(2x + 1)(x + 3)

Don't forget the p term:

p(2x + 1)(x + 3)



2. 24a^2 - 150b^2

Start by factoring out 2:

2(12a^2 - 75b^2)

The 12 and 75 have a common factor of 3. Factor that out:

6(4a^2 - 25b^2)

The 4a^2 - 25b^2 is a "difference of two squares" factoring.
The formula for that is a^2 - b^2 = (a + b)(a - b)

Substitute 2a for a and 5b for b:

6(2a + 5b)(2a - 5b)
1
keywords: the,given,Factor,polynomial,Factor the given polynomial
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .