Factoring Review - Central Dauphin School District

Download Report

Transcript Factoring Review - Central Dauphin School District

Factoring Review
Jeopardy
Difference Sums &
GCF/
Quadratic
Trinomials & Perfect Differences
Grouping
Form
Squares Of Cubes
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Find the GCF of the
monomials.
4a7b , 28ab
Answer: GCF = 4ab
Find the GCF of the
monomials
2x2y , 9x2y3 , 18xy2
Answer: GCF = xy
Factor
9x2 – 3x = 0
Answer: x = 0 or 1/3
Factor
4a2b + 28ab2 + 14ab
Answer: 2ab(2a + 14b + 7)
Solve for a
12a2 + 3a – 8a – 2 = 0
Answer: -1/4 or 2/3
Factor
x2 + 4x + 3
Answer: (x + 1)(x + 3)
Factor
a2 – 4ab + 4b2
Answer: (a -2b)(a – 2b)=
(a – 2b)2
Solve for w
w(w + 16) = 260
Answer: w = -26 or 10
Factor
18y2 + 9y - 5
Answer: (6y + 5)(3y – 1)
Solve for a
4a3 -18a2 – 10a
Answer: a = -1/2, 0 , or 5
Factor
16s2 – 9t2
Answer: (4s + 3t)(4s – 3t)
Factor
6 – 54d2
Answer: 6(1 + 3a)(1 – 3a)
Factor
16m2 + 48m + 36
Answer: (4m + 6)2 or 4(2m + 3)2
Solve for y
y2 – 16y + 64 = 81
Answer: y = -1 or 17
Solve for x
75x3 = 147x
Answer: x = -7/5 , 0, 7/5
Factor
x3 - 8
Answer: (x – 2)(x2 + 2x + 4)
Factor
3x3 – 3y3
Answer: 3(x – y)(x2 + xy + y2)
Factor
64w3 + 125
Answer: (4w + 5)(16w2 – 20w + 25)
Factor
2t3 – 54s3
Answer: 2(t – 3s)(t2 + 3st + 9s2)
Factor
343a4 + 216ab3
Answer: a(7a + 6b)(49a2 – 42ab + 36b2)
Factor
a4 – b4
Answer: (a2 + b2)(a + b)(a – b)
Factor
x4 – 4x2 - 21
Answer: (x2 + 3)(x2 – 7)
Factor
x4 – 6x2 - 27
Answer: (x2 + 3)(x + 3)(x – 3)
Factor
1 – 16x4
Answer: (1 + 4x2)(1 + 2x)(1 – 2x)
Factor
2x4y – 26x2y – 96y
Answer: 2y(x2 + 3)(x + 4)(x - 4)
Final
Jeopardy
Final Jeopardy
 Decide
how much you want to bet from
your points total.

Solve for x
3x4 + 6x3 – 3x2 – 6x = 0
Answer: x = -2, -1, 0 or 1