If (x-1) is a factor of polynomial f(x) but not of g(x), then it must be a factor of
f(x).g(x)
-f(x) + g(x)
f(x) - g(x)
[f(x) + g(x)]g(x)
∵ (x-1) is a factor of a polynomial f(x), but not of a polynomial g(x)
∴ (x-1) will be the factor of the product of f(x) and g(x)
Which of the following may not be a polynomial if F(x) and G(x) is a polynomial?
Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).
f(x) = 2x3−9x2 + x + 12, g(x) = 3 - 2x