Warm up Factor Completely 1) 2×2 – 10x 2) 3×4 + 6×2 – 12x 2x(x – 5)

Warm up Factor Completely 1) 2x2 – 10x 2) 3x4 6x2 – 12x 2x(x – 5) 3x(x3 2x – 4) 3) 12x2y2 16x3y - 20x5y3 4x2y(3y 4x – 5x3y2) 4) 32x3y3 – 24x2y3 8x2y4 8x2y3(4x – 3 y)

Factoring by Grouping SWBAT: Given 4 terms completely factor the given polynomial SWBAT: Factor a trinomial using grouping

To Factor using grouping you must have EXACTLY 4 terms.

Ex. 1: 5x 15 xy 3y Step 1: Factor GCF Done Step 2: Break the terms into 2 parts – group 1st 2 together and last 2 together Step 3: factor each part separately (5x 15) (xy 3y) 5(x 3) y(x 3) Hint: What’s inside the parenthesis should match. Step 4: Write your answer (x 3)(5 y) Step 5: Check your answer – multiply it out. 5x 15 xy 3y

Ex 2: 2xy - 4ya 10x – 20a Step1: GCF Step 2: 2 groups Step 3: Factor each group Step 4: 2(xy – 2ya 5x – 10a) 2(xy – 2ya) ( 5x – 10a) 2[y(x – 2a) 5(x – 2a)] 2(x – 2a) (y 5) Write answer Step 5: Check answer 2xy – 4ya 20x – 10a

Ex3: 18x3 6x2 3x 1 St1 – done St2 (18x3 6x2) (3x 1) st3 6x2 (3x 1) 1 (3x 1) 6x2/6x2 1 St4 (6x2 1)(3x 1) If they have no common factor you must put 1

Ex 4: 4x2 – 8xy – 3x 6y Step 2: (4x2 – 8xy) ( – 3x 6y) 3 Step 3: 4x (x – 2y) -3(x – 2y) Step 4: (x – 2y) (4x – 3) Step 5: 4x2 – 8xy – 3x 6y rd Hint: if the term is negative you must factor out a negative.

You try this one. Ex 5: 5x2 – 20x2y 5a – 20ay Remember to factor out anything that all terms have in common! 5(x2 – 4x2y a – 4ay) Answer: 5(x2 a) (1 – 4y)

Homework: Factoring ws #2 Factoring by Grouping