Show that (2x-3) is a factor of 6x3-25x2+32x-12
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let, f(x) = 6x^3 - 25x^2 + 32x -12
using remainder theorem..
if, (2x - 3) is a factor of the function, then
for, x =3/2, f(x) = 0..
now,
let's check.
f(3/2) = 6 x 27/8 - 25 x 9/4 + 32 x 3/2 - 12
= (81 - 225 + 144) / 4 = 0/4 = 0...
hence,
(2x - 3) is a factor of f(x).
using remainder theorem..
if, (2x - 3) is a factor of the function, then
for, x =3/2, f(x) = 0..
now,
let's check.
f(3/2) = 6 x 27/8 - 25 x 9/4 + 32 x 3/2 - 12
= (81 - 225 + 144) / 4 = 0/4 = 0...
hence,
(2x - 3) is a factor of f(x).
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