Question

Check whether x-2) is
X2-4 x +4
factor of​

Answer 1

Answer: Yes

Step-by-step explanation:

According to factor theorem for

f(x)=x  

3

−x  

2

−4 to have x−2 as its factor f(2) should be equal to zero

f(2)=(2)  

3

−(2)  

2

−4

       =8−4−4

       =0

So, x−2 is a factor of f(x)

Answer 2

Step-by-step explanation:

x^2-4x+4

=x^2-2x-2x+4

=x(x-2)-2(x-2)

=(x-2)(x-2)

so,(x-2) is a factor of (x^2-4x+4)