To be able to factor Quadratic equations. Objective #2 To be able to factor Quadratic equations.

Find the area of the rectangle Area = Length * Width Find the area of the rectangle 1 1 1 1 x x 1 1 1

(x + 3)(x + 4) x2 + 4x + 3x + 12 x2 + 7x + 12 1 1 1 1 x 4x x x^2 1 1

Now Factor x2 + 7x + 12 Find two numbers that Multiply to = 12 and add up to 7. Draw the ( )( ) (x + __)(x + __)

Notice that: 3  4 = 12 and that 3 + 4 = 7 Now Factor x2 + 7x + 12 (x + )(x + ) 3 4 Notice that: 3  4 = 12 and that 3 + 4 = 7

Check using FOIL (x + 3)(x + 4) x2 + 4x + 3x + 12 x2 + 7x + 12

Find the same two numbers that multiply to equal -10 and add up to 3 = 5 -2 . 3 -2 = 5 +

Now Factor x2 + 3x - 10 Use the two Numbers that multiply to = -10 and add up to 3 (x + 5)(x - 2)

Check using FOIL (x + 5)(x - 2) x2 - 2x + 5x - 10 x2 + 3x - 10

Rules Your Turn 1.) When it says you are to show your work on a separate piece of paper including the checks. 2.) Do the worksheet when you see

Find the same two numbers that multiply to equal 6 and add up to 5 Your Turn Figure it out before you click You thought I was kidding 6 = 3 2 . 5 2 = 3 +

Now Factor Your Turn x2 + 5x + 6 Do the problem on your paper FIRST

Now Factor x2 + 5x + 6 (x + 3)(x + 2) Check (x + 3)(x + 2) Your Turn Do the problem on your paper FIRST

Now Factor x2 + 5x + 6 (x + 3)(x + 2) Check (x + 3)(x + 2) Your Turn x2 + 5x + 6 (x + 3)(x + 2) Check (x + 3)(x + 2) x2 + 2x + 3x + 6 x2 + 5x + 6

Factor x2 - 7x + 12 (x - 3)(x - 4) Check…. (x - 3)(x - 4) Your Turn x2 - 7x + 12 (x - 3)(x - 4) Check…. (x - 3)(x - 4) x2 - 4x - 3x + 12

Factor x2 - 3x - 10 (x - 5)(x + 2) Check…. (x - 5)(x + 2) Your Turn x2 - 3x - 10 (x - 5)(x + 2) Check…. (x - 5)(x + 2) x2 - 5x + 2x - 10

Factor 2x2 + 8x + 8 First factor out the GCF (2) 2(x2 + 4x + 4)…..Then

Number you paper from 1 to 12.

Find the 2 numbers that multiply to ____ and add up to ___ 1.) multiply 3 add 4 2.) multiply 8 add 6 3.) multiply 12 add -8

Find the 2 numbers that multiply to ____ and add up to ___ 4.) multiply 16 add 17 5.) multiply 24 add -11 6.) multiply -24 add -10

Now Factor Your Turn 7.) a2 + 4a + 3 8.) x2 + 6x + 8 9.) a2 - 8a + 12

Now Factor 10.) x2 + 26x + 25 11.) a2 - 8a + 16 12.)2x2 + 12x +16 Your Turn

(a + 1)(a + 3) Check your Answers (a - 6)(a - 2) 7.) a2 + 4a + 3 8.) x2 + 6x + 8 (x + 4)(x + 2) 9.) a2 - 8a + 12 (a - 6)(a - 2) Check your Answers

Check your Answers 10.) x2 + 26x + 25 (x + 25)(x + 1) 11.) a2 - 8a + 16 (a - 4)(a - 4) = (a - 4)2 12.)2x2 + 12x +16 2(x2+ 6x + 8) 2(x + 4)(x + 2) Check your Answers

Classwork Booklet Pg. 171 Middle Column