(iii) Factors of
4x²-12x+9 are
(2x-3) (2x-3)
Answers
Step-by-step explanation:
Explanation:
Use the rainbow method.
Multiply the two outer coefficients.
4
⋅
9
=
36
Find two numbers, that when multiplied equal 36, and when added equal -12.
-6 and -6.
−
6
+
−
6
=
12
−
6
⋅
−
6
=
36
Rewrite the equation with the x value replaced by the two new values.
4
x
2
−
6
x
−
6
x
+
9
Seperate the equation into two parts.
4
x
2
−
6
x
and
−
6
x
+
9
Find the GCF of the two parts.
2
x
(
2
x
−
3
)
and
−
3
(
2
x
−
3
)
Take the GCF as your first factor, and the two remaining values as the second.
2x-3 and 2x-3
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