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GCF
a = 1
a > 1
Special Cases
Vocabulary
100
Factor: 6n
2
+9n
3n(2n+3)
100
Factor into two binomials: x
2
+3x+2
(x+1)(x+2)
100
Factor: 2x
2
+11x+12
(x+4)(2x+3)
100
Factor: x
2
+2x+2
(x+1)
2
100
what is ax
2
+bx+c=0 where a not equal to zero
the standard form of a quadratic equation
200
Factor:
3a
2
+9
3(a
2
+3)
200
Factor into two binomials: x
2
+5x+6
(x+2)(x+3)
200
Factor: 4x
2
-4x -3
(2x-3)(2x+1)
200
Factor: t
2
-14t+49
(t-7)
2
200
what is the greatest common factor of an expression
the common factor of each term which that has the greatest coefficient and the greatest exponent
300
Find common factor: 5t
2
-5t-10
5(t
2
-t-2)
300
Factor into two binomials: x
2
+7x+10
(x+2)(x+5)
300
Factor: 2x
2
+4x+2
(2x+2)(x+1)
300
Factor: k
2
-18k+81
(k-9)
2
300
what is a term of an expression
a number, a variable, or the product of a number and one or more variables. The expression 4x
2
-3y+7.3 has 3 terms
400
Find Common factor: 25b
2
-20b
5b(5b-4)
400
Fact
or into two binomials: x
2
+10x+16
(x+2)(x+8)
400
Factor: 2m
2
-11m+15
(m-3)(2m-5)
400
Factor: x
2
-4
(x-2)(x+2)
400
what is a trinomial
an algebraic expression consisting of three terms.
500
Find Common Factor:- 14y
2
+7y-21
7(2y
2
+y-3)
500
Factor into two binomials: y
2
+15y+36
(y+3)(y+12)
500
Factor: 2x
2
-19x+24
(x-8)(2x-3)
500
Factor: 81y
2
+49
cannot be factored. This is the sum of squares, not a difference of squares
500
what is a perfect square trinomial
a trinomial that is the square of a binomial