Solution assignment 02 The basics

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Assignment 2

Factorize:

(x-2)^2-5(x-2)+4

Solution

We can work out this formula resulting in a standard quadratic function and next try to to factorize the result. In this case it is faster to use y=x-2. Then we get the following equation:

y^2-5y+4

This can be factorized as follows:

(y-4)(y-1)

which can be rewritten:

(x-2-4)(x-2-1)=(x-6)(x-3)

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