# Algebra - Polynomials Multiplication

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 Author: randycapped ID: 267638 Filename: Algebra - Polynomials Multiplication Updated: 2014-03-24 01:24:19 Tags: Polynomials Folders: Algebra Description: Multiplying Polynomials Show Answers:

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1. Multiplying monomials.

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2. Multiplying monomials.

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3. Multiplying monomials.

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4. Multiplying a Monomial by a Polynomial.

5. Multiplying a Monomial by a Polynomial.

6. Multiplying Binomials.

*Each term in the first polynomial must be multiplied by each term in the second.

+

7. Multiplying Binomials.

*Each term in the first polynomial must be multiplied by each term in the second.

8. Multiplying a binomial by a trinomial.

*Each term in the first polynomial must be multiplied by each term in the second.

x(5x2)+x(-2x)+x(-6)+4(5x2)+4(-2x)+4(-6)

5x3-2x2-6x+20x2-8x-24

9. Formula for "Special Case Products"

The product of congugates results in a ______ of ________.

The square of a binomial results in a _______ _______ trinomial.
• difference
• squares
• perfect
• square

10. Special Case Formula #1:

a2-ab + ab -b2

(difference of squares)
11. Special Case Formula #2:

• (a+b)(a+b)
• a2+ab+ab+b2

(perfect square trinomial)
12. The product of conjugates results in a ______ of _______.
• difference
• squares
13. The square of a binomial results in a _______ _______ trinomial.
• perfect
• square
14. Find a polynomial that represents the volume of the cube:

V= (x+4)(x+4)(x+4)

Step 1: Multiplying from left to right, you notice that you're squaring a binomial. So, you'll get a perfect square trinomial.

• Step 2: Rewrite the equation:
•

Step 3: Multiply each term in first parentheses by each term in the 2nd.

x2*x+x2*4+8x*x+8x*4+16*x+16*4

x3 + 4x2 + 8x2 + 32x + 16x + 64

Step 4: Combine like terms:

V =
15. Multiplying Conjugates.

Once you recognize the conjugate, you know you will end up with a difference in squares, so you don't have to multiply the "long way".

16. Multiplying Conjugates.

Once you recognize the conjugate, you know you will end up with a difference in squares, so you don't have to multiply the "long way".

17. Squaring Binomials.

We know that the result will be a perfect square trinomial. So, you don't have to multiply (a+b)(a+b) the long way.

(2x)2 +2(2x)(5) + (5)2

• SAME AS:

18. Squaring Binomials.

We know that the result will be a perfect square trinomial. So, you don't have to multiply (a+b)(a-b) the long way. Just remember to put the negative sign in front of the middle term.

(3y2)2 - 2(3y2)(7w) + (7w)2

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