Factoring by Grouping
Factor by grouping: 4u + uv - 24 - 6v
What is (4+v)(u-6)?
Factoring is the reverse of the _________ property.
What is distributive?
Factor: x2-2x-8
What is (x-4)(x+2)?
Factor: 2x2+5x-3
What is (2x-1)(x+3)?
Factor: 36-x2
What is (6-x)(6+x)?
Factor by grouping: 7x-21+12xy-36y
What is (y+12y)(x-3)?
To factor a quadratic equation like ax2+bx+c, I need two numbers that add to __ and multiply to __ .
What are b and c?
Factor: x2-7x+12
What is (x-4)(x-3)?
Factor: 7x2-6x-1
What is (7x+1)(x-1)?
Factor: 121-x2
What is (11-x)(11+x)?
Factor by grouping: x3-x2y+yx3-x2y2
What is x(1+y)(x2-xy)?
Why is it okay for someone to factor something out like we've been doing?
For example, why is it okay for ax+bx to be factored to x(a+b)?
What is "because x is multiplied to both terms"
What is "because the distributive property works"
Factor: x2+5x-14
What is (x-2)(x+7)?
Factor: 4x2-20x+25
What is (2x-5)(2x-5)?
Factor: 484-x2
What is (22-x)(22+x)?