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Factoring Quadratics
Choose Course
Algebra 1
Quadratic Equations
Factoring Quadratics
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Factoring Quadratics 1.9 - Solution
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Return to Factoring Quadratics
First we want to
factor
the quadratic trinomial
x
2
−
3
x
−
2
8
.
x
2
−
3
x
−
2
8
WriteDiff
Write as a difference
x
2
+
4
x
−
7
x
−
2
8
Factor out
x
&
-
7
FactorOut
Factor out
x
x
(
x
+
4
)
−
7
x
−
2
8
FactorOut
Factor out
-
7
x
(
x
+
4
)
−
7
(
x
+
4
)
FactorOut
Factor out
(
x
+
4
)
(
x
−
7
)
(
x
+
4
)
We can now use this to write the given equation as
(
x
−
7
)
(
x
+
4
)
=
0
.
To solve this equation, we will apply the
zero product property
.
(
x
−
7
)
(
x
+
4
)
=
0
ZeroProdProp
Use the Zero Product Property
x
−
7
=
0
x
+
4
=
0
(
I
)
(
II
)
AddEqn
(
I
):
LHS
+
7
=
RHS
+
7
x
=
7
x
+
4
=
0
SubEqn
(
II
):
LHS
−
4
=
RHS
−
4
x
1
=
7
x
2
=
-
4
