# Hotmath Practice Problems

Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Exponents, Polynomials and FactoringSection:Monomial Factors of Polynomials

Problem: 1

Factor the given polynomial.

y3 + 6y

Problem: 3

Factor the given polynomial.

5p4 – 5p

Problem: 5

Factor the given polynomial.

7x2 + 21x + 56

Problem: 7

Factor the given polynomial.

63y3 + 36y5

Problem: 9

Factor the given polynomial.

6x5 + 31x8

Problem: 11

Factor the given polynomial.

19y7 + 5y7

Problem: 13

Factor the given polynomial.

8x2 + 2x – 18

Problem: 15

Factor the given polynomial.

6a6b4 + a3b

Problem: 17

Divide the expression.

Problem: 19

Divide the expression.

Problem: 21

Divide the expression.

Problem: 23

Divide the expression.

Problem: 25

Divide the expression.

Problem: 27

Divide the expression.

Problem: 29

Divide the expression.

Problem: 31

Divide the expression.

Problem: 33

Divide the expression.

Problem: 35

Find whether the given pair of polynomials are relatively prime or not. If two polynomials have no common factors other than constants, they are relatively prime.

x4 + x, 5x5

Problem: 37

Find whether the given pair of polynomials are relatively prime or not. If two polynomials have no common factors other than constants, they are relatively prime.

a2, 9a2

Problem: 39

Find whether the given pair of polynomials are relatively prime or not. If two polynomials have no common factors other than constants, they are relatively prime.

t3 – 9t, t3 – 9

Problem: 41

Find whether the given pair of polynomials are relatively prime or not. If two polynomials have no common factors other than constants, they are relatively prime.

3x + 6, 3x4 – 6

Problem: 43

Find whether the given pair of polynomials are relatively prime or not. If two polynomials have no common factors other than constants, they are relatively prime.

3x4 + 6x2 – 9x, 6x5 + 18x4 + 30x3 – 24

Problem: 45

Find whether the given pair of polynomials are relatively prime or not. If two polynomials have no common factors other than constants, they are relatively prime.

a5 + a3b + ab3 + b5, a3ab3

Problem: 47

Simplify the expression.

Problem: 49

Simplify the expression.

Problem: 51

Simplify the expression.

Problem: 53

Express the area of the shaded region in factored form.

Problem: 55

Express the area of the shaded region in factored form.

Problem: 57

Express the area of the shaded region in factored form.

Problem: 59

Express the area of the shaded region in factored form.