By GCF
Trinomials with a=1
Trinomials with a>1
Polynomials
Random!
100
Factor out the GCF of:

14n2+10n
2n(7n+5)
100
Factor completely:

x2+6x+9
(x+3)2
100
Select the trinomial that is the product of 2 binomials with OPPOSITE SIGNS in the last term:

a. 10a2+5a+15

b. 10a2-5a+15

c. 10a2-5a-15
Trinomial C

Because the sign of its last term is negative.

When sign of the last term is positive both binomials keep the sign of the middle term of the trinomial.
100
Factor completely:

ax+ay+bx+by
(a+b)(x+y)
100
Factor completely the following difference of squares:

4y2-25
(2y+5)(2y-5)
200
Factor out the GCF of:

12x5-18x3-3x2
3x2(4x3-6x-1)
200
Factor completely:

x2-10x+25
(x-5)2
200
Factor completely:

5x2-17x+6
(5x-2)(x-3)
200
Factor completely:

6n2x-5x-6n2+5
(x-1)(6n2-5)
200
Factor completely by grouping:

bz+z-bm-m
(b+1)(z-m)
300
Factor out the GCF of:

15x3y2+10x2y4
5x2y2(3x+2y2)
300
Factor completely:

m2n2+16mn+39
(mn+13)(mn+3)
300
Factor completely:

12z2+7z-10
(3z-2)(4z+5)
300
Factor completely:

24bx-12by-16kx+8ky

Hint: Remember GCF first!!
4(3b-2k)(2x-y)
300
Factor completely:

15z2-2z-8
(3z+2)(5z-4)
400
Factor out the GCF of:

22x5y7-14x3y8+18x6y4
2x3y4(11x2y3-7y4+9x3)
400
Factor completely:

4a4/5-20a2/5+24

Hint: Remember GCF first!!
4(a2/5-2)(a2/5-3)
400
Factor completely:

10x2a+11xa-6
(5xa-2)(2xa+3)
400
Factor completely:

3ax2-6a+3x2-6

Hint: Remember GCF first!!
3(a+1)(x2-2)
400
Factor completely the following addition of cubes:

64x3+27y6

Remember it comes from a binomial times a special trinomial
(4x+3y2)(16x2-12xy2+9y4)
500
Factor out the GCF and simplify the expression:

(6x+4)(-2m-7)-m(6x+4)-(6x+4)
(6x+4)(-3m-8)
500
Factor completely:

-2w2-10w+168

Hint: Remember GCF first!!
-2(w+12)(w-7)
500
Factor completely:

9x3-57x2+60x

Hint: Remember GCF first!!
3x(3x-4)(x-5)
500
Factor completely:

3x2y3+6x2y2-21x2y2-42x2y

Hint: Remember GCF first!!
3x2y(y+2)(y-7)
500
Factor completely the first trinomial and then the resulting difference of squares:

(x2-6xy+9y2)-16m2
=(x-3y)2-16m2

=(x-3y+4m)(x-3y-4m)
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