In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:
f(x) = 3x³+x²-20x+12, g(x) = 3x-2

Question

In each of the following, use factor theorem to find whether polynomial g ( x ) is a factor of polynomial f ( x ) or, not: f ( x ) = 3 x 3 + x 2 -20 x +12, g ( x ) = 3 x -2

Philoid · Accepted Answer

We have,

f(x) = 3x³+x²-20x+12 and g(x) = 3x-2

In order to find whether g (x) is = 3x – 2 is a factor of f (x) or not, it is sufficient to show that f () = 0

Now,

f(x) = 3x³+x²-20x+12

f () = 3 ()³ + ()² – 20 () + 12

= - + 12

=

= 0

Hence, g (x) is a factor of f (x).

In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:f(x) = 3x3+x2-20x+12, g(x) = 3x-2

In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:
f(x) = 3x³+x²-20x+12, g(x) = 3x-2