Polynomials

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Slide 10

Graphs of Odd functions

Slide 11

Graphs of Even functions

Slide 12

Zeros of a polynomial function

A real number r is a real zero of the polynomial f (x) if f (r) =0

If r is a zero of the polynomial, then r is an x – intercept.

If r is a zero of the polynomial f (x) then

f (x) = (x – r) p (x), where p (x) is a polynomial

Slide 13

The intercepts of a polynomial

If r is an x – intercept of a polynomial x, then

f( r ) = 0

If r is an x – intercept then either

1. The graph crosses the x axis at r or

2. The graph touches the x axis at r

Slide 14