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# Methods2 polynomial functions

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### Methods2 polynomial functions

1. 1. Maths MethodsPolynomial Functions K McMullen 2011
2. 2. Polynomial FunctionsP(x) is an expression containing only positivewhole numerical powers of xThe degree of a polynomial is given by thehighest power of the variable xDivision of polynomials is used to factorisehigher degree polynomials into linear factorsso that the number and values of the x-intercepts can be determined to assist ingraphing K McMullen 2011
3. 3. Polynomial FunctionsWhen a polynomial P(x) is divided by adivisor D(x), the results can be written as: P(x)D(x)=Qx+R(x)D(x) Q(x) is the quotient R(x) is the remainder K McMullen 2011
4. 4. Polynomial FunctionsThe remainder theorem: When P(x) is divided by (x-a), the remainder is P(a) When P(x) is divided by (ax+b), the remainder is P(-b/a)The factor theorem: When P(a)=0, then (x-a) is a factor of P(x) When P(-b/a)=0, then (ax+b) is a factor of P(x) Once a linear factor has been found using the factor theorem, other factors may be found using long division K McMullen 2011
5. 5. Polynomial FunctionsResources: Worksheet 2: Division of polynomials Textbook: 1C, questions 1-11 K McMullen 2011