Factorize: I) 12x²+17x-7
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Answered by
2
Answer:
(3x-1) (4x+7)
Step-by-step explanation:
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
12
⋅
−
7
=
−
84
and whose sum is
b
=
17
.12
x
2
−
4
x
+
21
x
−
7
Factor out the greatest common factor from each group
4
x
(
3
x
−
1
)
+
7
(
3
x
−
1
)
Factor the polynomial by factoring out the greatest common factor,
3
x
−
1
.
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