A root of 4 means the factor is (x - 4)
Multiplicity 2 means it has a power of 2 => => (x - 4)^2
Leading Coefficient -1 means it will be reflected opening downward
- (x - 4)^2
-(x^2 - 8x + 16)
-x^2 + 8x - 16
You cannot answer this question with the information supplied.
The x intercepts are the roots of the polynomial f(x) = 0.
The fundamental theorem of algebra says that the number of roots of this equation is 9, but not necessarily all of them are real; therefore the MAXIMUM number of x intercepts is 9.
However, since f(x) is of odd degree it must have at least one real root; therefore, the MINIMUM number of x intercepts is 1.
Can’t you just substitute.
-x+4=2x-8
12=3x
4=x