Question

factories : x²–8x+ 16

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Answer 1

Answer:

Given:

x2−8x+16.

We find two numbers, say

a

and

b

, such that

a+b=−8and ab=16.

Mentally, I see that a=b=−4. Checking,

(−4)+(−4)=−8,−4⋅−4=16.

Now, we split it into:

=x2+ax+bx+16

=x2−4x−4x+16

=x(x−4)−4(x−4)

=(x−4)(x−4)=(x−4)2