Determine degree of polynomial and number of roots


f(x)= x3-22x2+37+60

g(x)= x4 +4x3 -10x2-28-15

Determine:

i) Degree of polynomial, number of roots and end behavior model

ii) Number of relative maximum/minimum points. number of absolute max/min points.

iii) Number of possible positive real roots. number of possible negative real roots

iv) Rational factors if any and Multiplicity of factors if existent.

v) Ppossible rational roots 

vi) Graph

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Mathematics: Determine degree of polynomial and number of roots
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