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Equations and Inequalities

Solving polynomial equations

1) Factor first or use quadratic formula

2) A product is zero if at least one or more of its factors is zero, ab=0 a=0 or b=0 or both

Example: solve

a)

b)

c)

Solving rational expressions

iff p(x)=0 and q(x)≠0 therefore solve p(x)=0 but make sure that the answers do not make the

denominator equal zero.

Example: solve

Polynomial inequalities

1) Solve the corresponding equality

2) Construct a sign chart

3) Choose the appropriate intervals