Question

check whether (x-2) is a factor pf x^3-2x^2-5x+4
please answer it fast
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Answer 1

Answer:

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

The value of x−2=0 ⟹ 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 0, when x−2 divides the polynomial x3−2x2−5x+4. 

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