For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at
For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at
Data:
Degree=4
Since it is a third degree function with three x intercepts, its general equation becomes:
In order to evaluate a, use the y - intercept (0,-4), therefore substitute
Simplify:
Evaluate a:
This implies that the equation of the given polynomial function is
For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at
Every cubic polynomial can be categorised into one of four types: Type 1: Three real, distinct zeros:
Type 2: Two real zeros, one repeated:
Type 3: One real zero repeated three times:
Type 4: One real and two imaginary zeros:
Experiment with the graphs of Type 1 cubics. Clearly state the effect of changing both the size and sign of a. What is the geometrical significance of