30+4 01²-7 from
a " + 3x² - 4x +4
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Answered by
1
Step-by-step explanation:
We can use factoring by grouping. Here I will rewrite the
b
term as the sum of two terms so we can factor.
Our quadratic can be alternatively written as
3
x
2
−
2
x
+
6
x
−
4
=
0
We can factor an
x
out of the light blue term, and a
2
out of the orange term. This gives us
x
(
3
x
−
2
)
+
2
(
3
x
−
2
)
=
0
We can factor out a
3
x
−
2
to get
(
3
x
−
2
)
(
x
+
2
)
=
0
Setting both factors equal to zero, we get
x
=
−
2
and
x
=
2
3
Hope this helps!
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