Factoring Level 1

Factoring Terms

100

A number written as a product of factors. These factors only have factors of 1 and themselves

Prime Factorization

200

The ______ of two monomials is the greatest of the factors that the monomials share

greatest common factor

300

What do we call a number whose only factors are 1 and itself?

a prime number

400

What is the least number that has both of your numbers are a factor of called?

Least Common Multiple

500

If x² - bx + c, what are the signs of the two factors?

Both negative

GCF

100

Write the prime factorization of 114

2 x 3 x 19

200

Find the GCF of 54 and 81

27

300

Find the GCF of -18b⁴ and 27b²

9b²

400

Factor 4b³ + 6b² - 2b

2b(2b² + 3b - 1)

500

Factor 30b³ - 3b² - 12b + 15

3(10b³ - b² - 4b + 5)

x^2 + bx + c

100

Factor x² + 6x + 5

(x+5)(x+1)

200

Factor x² - 13x + 22

(x-2)(x-11)

300

Factor x² + 5x - 84

(x+12)(x-7)

400

Factor x² - 6x - 72

(x-12)(x+6)

500

A rectangle has an area of x² + 8x + 15 meters squared. What is the width of the rectangle if the length is (x + 5) meters?

Don't forget your units!!!

(x + 3) meters