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CH8 Alg 2 H vocab

Varation and Polynomial Equations

QuestionAnswer
Direct variation A linear function defined by a equation of the form y=mx (where m=/0)
Inverse variation A function defined by y=k/x where x=/0, k=/0.
Joint variation Quantities that vary directly as a product of 2 or more quantities; y=kxz
**Division Algorithm for Dividing Polynomials Dividend/divisor=Quotient + remainder/divisor
Synthetic division Alternate division method for dividing
*remainder Theorem P(x)=Q(x)*(x-c)+P(c). The remainder when P(x)/(x-c)=P(c)
**Factor theorem P(x) has x-r as a factor fi and only if r is a root of the equation P(x)=0
Depressed equation Q(x)=0; where Q(x) is the quotient when P(x) is divided by one of its factors. Roots of depressed equation=roots of P(x)=0.
**Conjugate theorem If a polynomial equation with REAL coefficients has a+bi, then a-bi is also a root.
**Varitation in sign A change in sign (+ or -) from the term of a polynomial to the next. Missing terms are ignored.
**Descrates rule of signs basically know the +/-/imag roots table; imag numbers always are in pairs
How can you tell the degree of an equation based off of its graph? By how many times the line hits the x-axis
Created by: allyson.lee