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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)
a
3
+ b
3
C)
a
3
- b
3
D)
a
3
b
3
7
quadratic equation
A)
ax + b = 0 where a ≠ 0
B)
ax + b = cx + d
C)
ax
2
+ 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)
a
2
+ b
2
= (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 90
o
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)
a
3
- b
3
B)
2a - 2b
C)
a
2
- b
2
D)
(a - b)
2
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