Precalculus 2e

Key Equations

Precalculus 2eKey Equations

Key Equations

 general form of a quadratic function $f(x)=a x 2 +bx+c f(x)=a x 2 +bx+c$ the quadratic formula $x= −b± b 2 −4ac 2a x= −b± b 2 −4ac 2a$ standard form of a quadratic function $f(x)=a (x−h) 2 +k f(x)=a (x−h) 2 +k$
 general form of a polynomial function $f(x)= a n x n + a n - 1 x n - 1 + ...+ a 2 x 2 + a 1 x+ a 1 f(x)= a n x n + a n - 1 x n - 1 + ...+ a 2 x 2 + a 1 x+ a 1$
 Division Algorithm $f(x)=d(x)q(x)+r(x) f(x)=d(x)q(x)+r(x)$ where $q(x)≠0 q(x)≠0$
 Rational Function $f(x)= P(x) Q(x) = a p x p + a p−1 x p−1 +...+ a 1 x+ a 0 b q x q + b q−1 x q−1 +...+ b 1 x+ b 0 ,Q(x)≠0 f(x)= P(x) Q(x) = a p x p + a p−1 x p−1 +...+ a 1 x+ a 0 b q x q + b q−1 x q−1 +...+ b 1 x+ b 0 ,Q(x)≠0$
 Direct variation Inverse variation

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