Question

11. Using factor theorem, determine whether g(x) is factor of f(x) or not
f(x) = x3 - 4x2+ x + 6. g(x)=x - 2.​

Answer 1

Answer:

no g(x)  is not the factor of f(x)  

is Step-by-step explanation:

g(x)  =  x-2

according to factor theorem

we will find zero of polynomial f(x)

finding zero means which value should be substituted to x to make the equation equal to zero

so x-2=0

x=2

so the answer is 2 now we put the value to f(x)

f(2)  = 2*3 - 4*2*2+ 2 +6  = -2

now the answer is not 0 so g(x) is not the factor of f(x)