Question

Using factor theorem,show that (2x-1) is a factor of p(x) = 2x 3 -9x 2 -2x+3.

Answer 1

2x-1=0 , x =1/2
Substitute the value of x in p(x).
2(1/2)³-9(1/2)²-2(1/2)+3
1/4 - 9/4 + 2
-2+2 = 0 ...ans.