If a number is a root of a polynomial, then we substitute the number to x of the polynomial, the answer or y is equal to zero. Hence, in this situation, if (x - 2) is a factor, the root is equal to 2. This means then that upon substituting 2 to the function, y is equal to zero. Answer then is A. f(2) = 0
D. f(2) = 0
Step-by-step explanation:
If x-2 is a factor of a function, then f(2) must be zero
f(x) = p(x) * (x-2) since (x-2) is a factor of f(x)
Substitute in x=2
f(2) = p(2) (2-2)
f(2) = p(2) *(0)
Anything times 0 = 0
f(2) = 0
D is the true answerr
If a number is a root of a polynomial, then we substitute the number to x of the polynomial, the answer or y is equal to zero. Hence, in this situation, if (x - 2) is a factor, the root is equal to 2. This means then that upon substituting 2 to the function, y is equal to zero. Answer then is A. f(2) = 0