Question

check whether (x-2) is a factor of x3- 2(x)2-x+2​

Answer 1

Answer:

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Step-by-step explanation:

To check that x−2 is the factor of x  3  −2x  2   −5x+4

Then the value of x−2=0, so x=2.

So, put x=2 in expression, we get

f(x)=x  3   −2x  2   −5x+4

f(2)=(2) 3    −2(2)  2   −5(2)+4

⇒f(2)=8−2×4−5×2+4

⇒f(2)=8−8−10+4

⇒f(2)=−6

Remainder is not zero when x−2 divided polynomial x  3   −2x  2   −5x+4.

Thus x−2 is not a factor of polynomial x  

3    −2x  2   −5x+4.

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