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UNIT 4  : POLYNOMIAL FUNCTIONS

POLYNOMIAL FUNCTIONS TEST QUESTIONS

a)                                                                                                                                 b)

14.  Determine the equation(in factored form) of each of the following polynomial functions.

a)  Cubic                                                                                                                         b)  Quartic

15.  Find the equation of the quadratic function with zeros –2 and 1 such that f(-4) = 10.

a)                                                                                                                     b)

Solutions:

 x y -3 -20 -2 -16 1 20

 x y -4 -12 -3 -14 1 -2 2 -1.5

 x y -2 32 1 -8

 Interval Test Number - 4 - 2 - 0.5 0.5 3 5 Sign of x ( - ) ( - ) ( - ) ( + ) ( + ) ( + ) Sign of (x + 3) ( - ) ( + ) ( + ) ( + ) ( + ) ( + ) Sign of (x – 1) ( - ) ( - ) ( - ) ( - ) ( + ) ( + ) Sign of (x – 4) ( - ) ( - ) ( - ) ( - ) ( - ) ( + ) Sign of (x + 1) ( - ) ( - ) ( + ) ( + ) ( + ) ( + ) x(x + 3)(x – 1)/(x – 4)(x + 1) ( - ) ( + ) ( - ) ( + ) ( - ) ( + )

 Interval Test Number - 3 - 1.5 0 4 6 Sign of (x – 3) ( - ) ( - ) ( - ) ( + ) ( + ) Sign of (x + 1) ( - ) ( - ) ( + ) ( + ) ( + ) Sign of (x – 5) ( - ) ( - ) ( - ) ( - ) ( + ) Sign of (x + 2) ( - ) ( + ) ( + ) ( + ) ( + ) (x – 3)(x + 1)/(x – 5)(x + 2) ( + ) ( - ) ( + ) ( - ) ( + )

a)                                                                                                                     b)

14.  Determine the equation(in factored form) of each of the following polynomial functions.

a)  Cubic                                                                                                                         b)  Quartic

 x y -2 -9 -1 -8

 x y 1 -16