Factoring Trinomials
Factor x2+8x+12
(x+6)(x+2)
9x2-1
(3x-1)(3x+1)
Factor x2-16
(x+4)(x-4)
Rewrite the quadratic expression so that it has a perfect square binomial in it.
x2+6x+5
(x+3)2-4
x= -5, -3
x2+16x+64
(x+8)2
Factor 4x2-25
(2x - 5)(2x + 5)
Rewrite the quadratic expression so that it has a perfect square binomial in it.
x2+4x-7
(x+2)2-11
*** Daily Double ***
Solve by factoring: 7x2-6x=0
x= 0, 6/7
Factor 5n2+26n+5
(5n+1)(n+5)
*** Terrific Triple ***
x10-z8
(x5-z4)(x5+ z4)
Factor x2+22x+121
(x+11)2
***Terrific Triple***
Rewrite the quadratic expression so that it has a perfect square binomial in it.
4x2-8x+1
(2x-2)2-3 OR 4((x-1)2-(3/4))
Solve by factoring: x2(x2-1)(x2+5x+6)=0
Bonus 200 points if you correctly answer the following: does this equation represent a quadratic function? Why or why not?
x=-3, -2, -1, 0, 1
Factor 3x2+7x+4
(3x+4)(x+1)
Factor 4m3+10m2-36m
2m(m-2)(2m+9)
Factor 2x2-48x+288
2(x-12)2
Rewrite the quadratic expression so that it has a perfect square binomial in it.
5x2+20x-60
5((x+2)2-16) OR 5(x+2)2-80
Solve by factoring: 6x2-13x+3=-3
2/3 and 3/2
Factor 6x2+x-2
(2x-1)(3x+2)
Factor 30t3+50t2-20t
10t(t+2)(3t-1)
Factor 48x3-162y6
6(2x-3y2)(4x2+6xy2+9y4)
Rewrite the quadratic expression so that it has a perfect square binomial in it.
7x2-16x+100
7((x-8/7)2+636/49)
Solve by factoring: 15x2-3x=3-7x
x= -3/5, 1/3