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Polynomial (common polynomial functions (degree 0 (constant f(x)=a),…

- - - - degree & leading coefficient
        
        determines function's end behavior
- - - - leading coefficient= +
        
        increase from left
      - leading coefficient= -
        
        decrease from left
  - - - leading coefficient= -
        
        concave down
      - leading coefficient= +
        
        concave up
- - - - 3x(x+2)(x-2) <-- unfactorable
- - - - f(x)/d(x)=q(x)+(r(x)/d(x))
        
        f(x)=dividend
        
        f(x)/d(x)=q(x)+(r(x)/d(x)) or f(x)=q(x) g(x) + r(x)
        
        d(x)=divisor
        
        q(x)=quotient
        
        r(x)=remainder
- - - - if x=c
        
        f(x)=(x-c)g(x)+R(x)
        
        (c-c)g(c)+R(c)
        
        f(c)=R(c)
- - - - x-c is a factor of f(x)
- - - - p/q in lowest terms is a possible rational zero of f
- - - - a+bi is a zero of f
        
        a-bi is also zero of f
    - - a-√b is also zero of f
- - - - odd
      - even
- - - - f(a), f(b) are opposite sign
        
        f has at least one zero between a and b