A polynomial function is given in factored form and it is f(x)=3x^2(x-4)(x+4). The x-intercepts are found by setting f(x)=0. Then each factor is set equal to zero and the resulting equations are solved. The multiplicity of the x-intercepts comes from the exponent on the corresponding factor. The behavior of the graph at the zeros is found along with the end behavior of the graph. This information is then used to sketch the graph of the polynomial.
Timestamps:
0:00 Introduction
0:37 x-intercepts & Multiplicities
2:22 Find Degree of f(x)
2:44 Behavior at Zeros
3:45 End Behavior
4:22 Graph f(x)
