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Published byBrianna Purcell Modified over 4 years ago

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**(x + 4)(x + 7) = x2 + 11x + 28 (x + 14)(x + 2) = x2 + 16x + 28**

Find the product. (x + 4)(x + 7) (x + 14)(x + 2) = x2 + 11x + 28 = x2 + 16x + 28 Factor. 3. 10x + 25 4. 28x2 + 35x 5. x3 + 2x2 + 4x + 8 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)

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**Sign Rule: When the last term is POSITIVE…**

The signs inside the parenthesis will be the SAME as the middle number’s sign

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**Figuring out the Numbers**

Check to see… What factors to give you the last number AND adds to give you the middle number?

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**For polynomials, how is factoring related to multiplying?**

x2 +7x + 6 x2 +7x + 6 ( )( ) x x + 6 + 1 For polynomials, how is factoring related to multiplying?

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**For polynomials, how is factoring related to multiplying?**

x2 + 9x + 14 x2 + 9x + 14 ( )( ) x x + 7 + 2 For polynomials, how is factoring related to multiplying?

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**For polynomials, how is factoring related to multiplying?**

x2 – 6x + 8 x2 – 6x + 8 ( )( ) x x – 4 – 2 For polynomials, how is factoring related to multiplying?

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**For polynomials, how is factoring related to multiplying?**

x2 – 10x + 16 x2 – 10x + 16 ( )( ) x x – 8 – 2 For polynomials, how is factoring related to multiplying?

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**Sometimes you can factor out a GCF 1st!**

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**For polynomials, how is factoring related to multiplying?**

2x2 – 16x + 24 2(x2 – 8x +12) 2( )( ) x x – 6 – 2 For polynomials, how is factoring related to multiplying?

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**For polynomials, how is factoring related to multiplying?**

You Try... 3y2 + 36y + 60 3(y +10)(y +2) 4x2 +24x + 32 4(x + 2)(x + 4) For polynomials, how is factoring related to multiplying?

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**Sign Rule: When the last term is NEGATIVE…**

The parenthesis will have DIFFERENT SIGNS. The larger factor will have the SAME sign as the middle number

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**For polynomials, how is factoring related to multiplying?**

x2 + 8x – 20 ( )( ) x x – 2 + 10 For polynomials, how is factoring related to multiplying?

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**For polynomials, how is factoring related to multiplying?**

x2 – 4x – 21 ( )( ) x x + 3 – 7 For polynomials, how is factoring related to multiplying?

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**For polynomials, how is factoring related to multiplying?**

x2 – 9x – 36 ( )( ) x x + 3 – 12 For polynomials, how is factoring related to multiplying?

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= (x + 6) (x + 2) 1. x2 +8x x2 +16x + 48 = (x + 12) (x + 4)

= (x + 6) (x + 2) 1. x2 +8x x2 +16x + 48 = (x + 12) (x + 4)

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