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# Special Products of Polynomials

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Author: Abby S
##### Objective:

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

(more)
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?

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!

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