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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Factoring

Enrich Your Math Word Power



1

factor
A)to write an expression as a product
B)to multiply
C)what two numbers have in common
D)to FOIL
2

prime number
A)a polynomial that cannot be factored
B)a number with no divisors
C)an integer between 1 and 10
D)an integer larger than 1 that has no integral factors other than itself and 1
3

greatest common factor
A)the least common multiple
B)the least common denominator
C)the largest integer that is a factor of two or more integers
D)the largest number in a product
4

prime polynomial
A)a polynomial that has no factors
B)a product of prime numbers
C)a first-degree polynomial
D)a monomial
5

factor completely
A)to factor by grouping
B)to factor out a prime number
C)to write as a product of primes
D)to factor by trial and error
6

sum of two cubes
A)(a + b)3
B)a3 + b3
C)a3 - b3
D)a3b3
7

quadratic equation
A)ax + b = 0 where a ≠ 0
B)ax + b = cx + d
C)ax2 + bx + c = 0 where a ≠ 0
D)any equation with four terms
8

zero factor property
A)If ab = 0 then a = 0 or b = 0
B)a · 0 = 0 for any a
C)a = a + 0 for any real number a
D)a + (-a) = 0 for any real number a
9

Pythagorean theorem
A)a2 + b2 = (a + b)2
B)a triangle is a right triangle if and only if it has one right angle
C)the legs of a right triangle meet at a 90o angle
D)a theorem that gives a relationship between the two legs and the hypotenuse of a right triangle
10

difference of two squares
A)a3 - b3
B)2a - 2b
C)a2 - b2
D)(a - b)2