+
Special Products of Polynomials

Special Products of Polynomials

Author: Abby S
Description:

To teach kids about solving special polynomials because they occur a lot in everyday life.

You can learn how to solve special polynomials!

(more)
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

Special Products of Polynomials

When you learn how to recognize the special product polynomials quickly and easily, you can solve them a lot faster

(x-2)(x+2)--- are there any patterns?

(x+5)2--- any patterns here?

(x-6)2--- how about here?

In the first example, you can cancel out the last two number using the equation for a sum and difference pattern: a2 - b2

In the next two examples you can solve easily using the equation for a squared binomial pattern : a2-2ab+b2

Not, let's work out some equations:

1. Write out the sum and difference pattern: a2-b2

(x-2)(x+2)= x2-22

Then you solve the equation:

=x2-4

Now, Let's solve a squared binomial:

1. Write out the square of a binomial pattern: a2+2ab+b2

=(x+4)2

= x2+2(4)(x)+42

Then, solve the equation:

=x2+8x+16

Here is one more square of a binomial equation:

(2x-5)2

Write out the square of a binomial pattern: a2+2ab+b2

Substitute the equation numbers into the model equation:

4x2+2(2x)(-5)+25

Solve the equation:

=4x2-20x+25

As long as you follow the model equation for sum and difference patterns, a2-b2, and the model equation for square of a binomial pattern, a2+2ab+b2, it is extremely easy!

 

Related Links:

www.classzone.com

http://www.sosmath.com/algebra/factor/fac05/fac05.html

http://www.khanacademy.org/video/special-polynomials-products-1?playlist=Developmental%20Math

Source: Cite: Algebra 1, McDougal Littell Inc., 2001

Special Products of Polynomials (Video)

Watch special polynomial problems get solved!

Source: Algebra 1, McDougal Littell Inc., 2001