Question

The graph is of a polynomial function f(x) of degree 5 whose leading coefficient is 1. The graph is not drawn to scale. Use the Factor Theorem to find the polynomial. [Hint: What are the roots of f(x)? What does the Factor Theorem tell you?]

Answer 1

roots of a polynomial are (x-c1)(x-c2)(x-c3) .......(x-cn). Basically, plug every root you have into a (x-__) and then multiply them all together. Just be careful of signs. If your root is positive, it is written as (x-__). If your root is negative, it is written (x+__)

I got x^5-5x^4+5x^3+5x^2-6x

Hope this helps