Factor Math Problems.. Could someone please help me?

Question

Could someone please help me with these pratice problems.. Thank you

1. Factor by grouping:
3cd – 6cy + 2xd – 4xy

A) (3c + 2x)(d + 2y)
B) (d – y)(3c + 4x)
C) (3c + 2x)(d – 2y)
D) prime

2.Factor out the GCF.
32x^5 + 64x^4 + 16x

A) 8x(4x^4 + 8x^3 + 2)
B) 16x(2x^4 + 4x^3 + 1)
C) 4x(8x^4 + 16x^3 + 4)
D) prime


3.What is the Greatest Common Factor? (Type only the GCF value)
5x^3 + 25x

4. Factor
a^2 - 36

A) (a + 3)(a - 6)
B) (a - 6)(a - 6)
C) (a + 6)(a - 6)
D) prime

Answer 1

1. Factor by grouping:
3cd – 6cy + 2xd – 4xy
=3c(d-2y) + 2x(d-2y)
=(3c + 2x)(d-2y) (C)


2.Factor out the GCF.
32x^5 + 64x^4 + 16x
=16x(2*x^4 + 4*x^3 + 1) (B)


3.What is the Greatest Common Factor? (Type only the GCF value)
5x^3 + 25x
Answer: 5x since 5x(x^2+5)=5x^3 + 25x

4. Factor
a^2 - 36
(a-6)(a+6) (C)

Answer 2

#1
(3cd – 6cy) + (2xd – 4xy)
3c(d - 2y) + 2x(d - 2y)
(d - 2y)(3c + 2x)

#2
32x^5 + 64x^4 + 16x
16x (2x^4 + 4x^3 + 1)

#3
5x^3 + 25x
Each term has a 5 and an x, so the GCF is 5x

#4
a^2 - 36
a^2 - (6)^2
use difference of squares formula:
(a - 6)(a + 6)

Answer 3

1. C)

2. B)

3. 5x

4. C)

Answer 4

1. C
2. B
3. 5x
4. C