Question

[tex]1.Check whether (x-2) is a factor of {x}^{3} - 2 {x}^{2} - 5x + 4
\ \textless \ br /\ \textgreater \ [/tex]
​

Answer 1

Answer:

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

now mark me the brainliest yrr it takes time to solve plzz apperitiate the hardwork