Question

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

Answer 1

Using Remainder Theorem,

g(x)=0

x-2=0

x=2

P(x) = x-2x²-5x+4

= -2x²-4x+4

Putting x=2 in P(x)= -2x²-4x+4

P(2)=-2×(2)²-4×2+4

= -8-8+4

=-12.

Hence, x-2 is not a factor of x-2x²-5x+4.