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Classifying Polynomials

Write each polynomial in standard form.

Then classify it by degree and by number of terms.

-7x + 5x4 x2 - 4x + 3x3 + 2x

b(b - 3)2 (x + 1)(x - 1)(x + 2)

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Comparing Models

Sometimes you can fit data more closely by using a polynomial model of degree three or greater.

Linear Model Quadratic Model Cubic Model

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Determine by inspection the end behavior

of the graph of each function:

y = 3x + 2 y = 4x3

g(t) = -t2 + t f(x) = 2x + x5

g(x) = x6 y = 3x5 - 4x4

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6.1: Polynomial Functions pg. 303

#(24 – 30)even, (33 – 45)every 3rd,

(48 – 58)even