Sign Rule: When the last term is POSITIVE…

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

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Presentation transcript:

Sign Rule: When the last term is POSITIVE… The signs inside the parenthesis will be the SAME as the middle number’s sign

Figuring out the Numbers Check to see… What multiplies to give you the last number AND adds to give you the middle number?

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?

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?

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?

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?

Sometimes you can factor out a GCF 1st!

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?

For polynomials, how is factoring related to multiplying? You Try... 3y2 + 36y + 60 3(y +10)(y +2) 4x3 +24x2 + 32x 4x(x + 2)(x + 4) For polynomials, how is factoring related to multiplying?