Use Synthetic Division to Show That the Number C=-3 $f(x)=x^{4}-2 x^{3}-8 x^{2}+3 x-10$

question 19

Essay

Use synthetic division to show that the number c=-3 is a lower bound for the zeros of $f(x)=x^{4}-2 x^{3}-8 x^{2}+3 x-10$
Be sure to reference any properties, theorems or tests used.

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Definitions:

Labor Supply Curve

A graphical representation showing the relationship between the quantity of labor willing to work and the wage rate.

Indifference Curves

A graphical representation used in economics to show different combinations of two goods that give a consumer equal satisfaction and utility.

Utility Maximizes

The behavior of consumers to obtain the greatest satisfaction from their choices, given their resources.

Substitution Effect

The change in demand for a good or service caused by a change in its price, making consumers choose alternatives.