Name: ___________________

Date:___________________
kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Middle/High School Algebra, Geometry, and Statistics (AGS)
4.3 Factorization of any Quadratic Polynomial - I

Method of Factorization:

1. Multiply the coefficient of x2 by the constant term.

2. Resolve this product into two factors such that their sum is the coefficient of x.

3. Rewrite the x term as the term of two terms with these coefficients.

4. Then we can find the factors.

Example:
Factorize, 6x2+19x+15.

Solution:
Given that, 6x2+19x+15.
Here x2 coefficient is 6 and constant term is 15,
the product of these terms is = 6 * 15 = 90
19 = 10 + 9 = 10 * 9 = 90.
Therefore, 6x2+19x+15 = (6x2+10x)+(9x+15).
Take 2x and 3 as common, we get
= 2x(3x+5)+3(3x+5)
Take (3x+5) as common, we get
= (3x+5)(2x+3)

Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize, x2+11x+30.
(2x+5)(x+3)
(2x+5)(x+6)
(3x+2)(x+7)
(x+5)(x+6)

 Q 2: Factorize, 2x2+17x+30.
(2x+3)(2x+1)
(2x+5)(x+6)
(8x+2)(x+5)
(3x+2)(x+7)

Q 3: Factorize, 6x2+25x+21.
(8x+2)(x+5)
(2x+3)(2x+1)
(6x+7)(x+3)
(2x+5)(x+6)

 Q 4: Factorize, 4x2+8x+3.
(2x+3)(2x+1)
(3x+2)(x+7)
(8x+2)(x+5)
(2x+5)(x+6)

Q 5: Factorize, 3x2+23x+14.
(2x+5)(x+3)
(3x+2)(x+7)
(8x+2)(x+5)
(7x+5)(x+3)

 Q 6: Factorize, 7x2+26x+15.
(7x+5)(x+3)
(2x+5)(x+3)
(3x+2)(x+7)
(2x+5)(x+6)

Question 7: This question is available to subscribers only!

 Question 8: This question is available to subscribers only!


Subscription to kwizNET Learning System costs less than $1 per month & offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements

© 2003-2007 kwizNET Learning System LLC. All rights reserved. This material may not be reproduced, displayed, modified or distributed without the express prior written permission of the copyright holder. For permission, contact info@kwizNET.com
For unlimited printable worksheets & more, go to http://www.kwizNET.com.