Zeros of Functions
In this lesson, we learn about zeros of functions in polynomials. The leading coefficient and degree of the polynomial determine the maximum number of turning points and zeros. Zeros or solutions of a polynomial occur when f(x) is equal to 0, and they can be found by writing x minus a as a factor. These zeros also tell us the x-intercepts of the graph.
Overview Zeros of functions
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- How are the number of zeros connected with a polynomial of the nth degree?
- When is x=a a zero of a function?
- What happens at the turning point of a graph?
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Staff Review
The statement ' x=a is a zero of function f'should follow with 'only if' 'x=a is a solution of function f(x)=0 i.e.f(a)=0 then the other conclusions => (x-a) is a factor of f(x) and => (a,0)is an x-intercept of the graph are true conclusions.
