SOLUTION: Help Please. 1. Exlain the relationship of the term zero, x-intercept, and factor with respect to polynomial functions. 2. f(x)=4(x+4)(x+3)^3 3. f(x)=x(x+2)^2 4. f

Question 177711: Help Please.
1. Exlain the relationship of the term zero, x-intercept, and factor with respect to polynomial functions.

2. f(x)=4(x+4)(x+3)^3

3. f(x)=x(x+2)^2

4. f(x)=(x+1)^3(x-3)

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
1)an x intercept and a zero are one in the same for a function where f(x)=0
:
if k is a factor it takes on the form (x-k) and (x,k) is the coodinate of the x intercept or zero.
The following statements are equivalent:
k is a zero of the polynomial function f;
k is a solution of the polynomial equation f(x) = 0;
k is an x-intercept for the graph of the polynomial; and
(x - k) is a factor of the polynomial
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