Question

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

Answer 1

Answer:

Step-by-step explanation:

To check that x−2 is the factor of

x ³−2x²   −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.