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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
 
Free, Lessons
Chapter:Exponents, Polynomials and FactoringSection:Factoring by Grouping
 
Problem: 1

Factor the polynomial. Multiply the factors to check your answer.

z(x + y) + 5(x + y)

Problem: 3

Factor the polynomial. Multiply the factors to check your answer.

e(f – g) – 5(f – g)

Problem: 5

Factor the polynomial. Multiply the factors to check your answer.

6(p – q) + r(q – p)

Problem: 7

Factor the polynomial. Multiply the factors to check your answer.

5a(a + 7) – (7 + a)

Problem: 9

Factor the polynomial. Multiply the factors to check your answer.

3x(x – y) + y(y – x)

Problem: 11

Factor the polynomial. Multiply the factors to check your answer.

3u(u – 3v) + v(u – 3v) + (u – 3v)

Problem: 13

Factor the polynomial. Multiply the factors to check your answer.

x(6w – 4v + u) – (6w – 4v + u)

Problem: 15

Factor the polynomial. Multiply the factors to check your answer.

(s2 – 3ps + 3s) – (3s – 9p + 9)

Problem: 17

Factor the polynomial.

x3 + 2x2 + 4x + 8

Problem: 19

Factor the polynomial.

6a3 – 15a2 + 4a – 10

Problem: 21

Factor the polynomial.

b3 + 7b2 – 5b – 35

Problem: 23

Factor the polynomial.

15x3 + 24x2 – 35x + 56

Problem: 25

Factor the polynomial.

3x3 – 9x2 – 8x + 24

Problem: 27

Factor the polynomial.

bx – ax + by – ay

Problem: 29

Factor the polynomial.

n2 + 5n + np + 5p

Problem: 31

Factor the polynomial.

a2 – 7a + ay – 7y

Problem: 33

Factor the polynomial.

9x5 + 15x3 + 15x2 + 25

Problem: 35

Factor the polynomial.

d6 – d 4 – d2 + 1

Problem: 37

Factor h2– 9k2 – 6h + 9 as a difference of squares.

Problem: 39

Factor 4p2 – r2 + q2 – 4pq as a difference of squares.

Problem: 41

Factor the polynomial.

x2 – 25y2 + 25z2 – 10xz

Problem: 43

Factor the polynomial.

b2 + a2 + 2ab + 4a + 4b

Problem: 45

Factor the polynomial.

x4 – y4 – 6x2 + 9

Problem: 47

Factor the polynomial.

p2 + 4q2 – r2 – 4pq + 4r – 4

Problem: 49

Write x4 + 64 as (x4 + 16x2 + 64) – 16x2, a difference of two squares and factorize it.