Question

Factorise using appropriate identity: 4x^2 - 12x + 9

Answer 1

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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