Question

Check whether (x - 2) is a factor of x3 - 2x² – 5x + 4​

Answer 1

Answer:

To check that x−2 is the factor of x3−2x2−5x+4

Then the value of x−2=0, so x=2.

So, put x=2 in expression, we get

f(x)=x3−2x2−5x+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 x3−2x2−5x+4. 

Thus x−2 is not a factor of polynomial x3−2x2−5x+4.