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WorksheetsFactoring Review Basic
Total questions: 23
Worksheet time: 2hrs 31mins
Factor Out GCF
40y4-24xy2-56y2
2y2x(20y2-12x-8)
4(10y4-6xy2-14y2)
8y2(5y2-3x-7)
8(5y4-3xy2-7y2)
Factor Out GCF
56 - 35p
7(8-5p)
7p(8-5)
p(56-35)
Factor Out GCF
14x2y2z + 21xy2z2
xy2z(14x+21z)
7(x2y2z+xy2z2)
7xy2z(2x+3z)
Factor Out GCF
12w3t2 - 9wt2 + 15w2t3
3wt2(4w2-3 + 5wt)
3(w3t2-3wt2+5w2t3)
wt2(12w2-9 + 15wt)
Factor each with Leading Coefficient a=1
k2 -2k - 24
(k+4)(k-6)
(k+4)(k+6)
(k+6)(k-1)
(k-4)(k+6)
Factor each with Leading Coefficient a=1
n2 + 16n + 63
(n-7)(n+4)
(n+7)(n-9)
(n-3)(n-10)
(n+7)(n+9)
Factor each with Leading Coefficient a=1
k2 -2k - 24
(k+4)(k-6)
(k+4)(k+6)
(k+6)(k-1)
(k-4)(k+6)
Factor out a GCF, then Factor again (With Leading Coefficient a=1)
4x2 + 8x - 60
(4x-12) (x+5)
(4x+20) (x-3)
4(x-3) (x+5)
PRIME
Factor out a GCF, then Factor again (With Leading Coefficient a=1)
2x3 - 20x2 - 48x
2x(x+2) (x-12)
2x(x2-10x-24)
(2x2+2) (x-12)
PRIME
Factor by grouping
x3 - 4x2 -4x + 16
(x+4)(x+2)
(x-4)(x2 -4)
(x+4)(x2 -4)
(x-4)(x-2)
5n³-10n²+3n-6
Factor with leading coefficient a <1
a2 - a - 12
(a - 4)(a + 3)
(a + 6)(a - 4)
(a - 6)(a + 4)
(a + 4)(a - 3)
Factor with leading coefficient with a <1
x2 + 9x - 36
(x + 12)(x - 3)
(x + 9)(x - 4)
(x - 12)(x + 3)
(x - 9)(x - 4)
25x2-81
16x2+25
Factor the following perfect square trinomial
x2 + 18x + 81
(x + 9)(x – 9)
(x + 18)(x+18)
(x + 9)(x+9)
(x + 6)(x+6)
Factor perfect square trinomials
x2 + 24x + 144
(x + 12)(x+12)
(x + 9)(x+9)
(x + 15)(x+15)
(x + 13)(x+13)
Factor by Diamond and then Solve (set equal to 0 )
a2 + 2a - 24 = 0
a = -6, 4
a = 6, -4
a = 12, -2
a = 8, -3
Factor by diamond, then solve (Set equal to 0 )
x2 - 9x + 20 = 0
x = -4 and x = -5
x = 20 and x = -9
x = 4 and x = 5
x = -4 and x = 5
Factor ou t the GCF then Solve (set equal to zero)
x2+14x=0
x=0 and x=-14
x=1 and x=14
x=0 and x=14
Factor using butterfly then solve
3v2 - 4v - 7
x=7/3 and x=-1
x=3/7 and x=1
x=0 and x=3/7
