Question

Show that (x-1) (x-2) is a factor of polynomial x - x² - 4x + 4. Also find zeros of the polynomial.
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Answer 1

Step-by-step explanation:

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x-1= 0

x= 0+1

x= 1

put p(x)= 1

p(1)=1-1²-4(1)+4

p(1)= 1-1-4+4

p(1)= 0

Therefore, (x-1) is a factor of the polynomial x-x²-4x+4.

x-2=0

x=0+2

x= 2

Now, put p(x)= 2

p(2)=2-2²-4(2)+4

p(2)= 2-4-8+4

p(2)= -2-4

p(2)= -6

Therefore, (x-2) is not a factor of x-x²-4x+4.