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1. polynomial theorems 2. polynomial theoremsremainder theoremif the polynomial p(x) is divided by (x a), then the remainder is p(a) 3. polynomial theoremsremainder theoremif

1. polynomial results 2. polynomial results1. if p(x) has k distinct real zeros, a1 , a2 , a3 ,, ak , then; x a1 x a2 x a3 x

1. polynomial division 2. polynomial divisionp x a x q x r x where; 3. polynomial divisionp x a x q x

1. polynomial functions 2. polynomial functionsa real polynomial p(x) of degree n is an expression of the form;p x p0 p1

1. roots and coefficients 2. roots and coefficients quadratics ax 2 bx c 0 3. roots and coefficients quadratics ax 2 bx c 0b a 4.

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1. sketching polynomialswhen drawing y = p(x) y intercept is the constant 2. e.g. y x 1 x 1 x 2 32 y x

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1. polynomial results 2. polynomial results 1. if p(x) has k distinct real zeros, a1 , a2 , a3 ,, ak , then; x a1 x a2 x a3 x

1. polynomial functions 2. polynomial functions a real polynomial p(x) of degree n is an expression of the form; p x p0 p1 x p2 x 2 pn1

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1. polynomial division 2. polynomial division p x a x q x r x where; 3. polynomial division p x a x q x

1. polynomial results 2. polynomial results 1. if p(x) has k distinct real zeros, a1 , a2 , a3 ,, ak , then; x a1 x a2 x a3 x

1. polynomial theorems 2. polynomial theorems remainder theorem if the polynomial p(x) is divided by (x a), then the remainder is p(a) 3. polynomial theorems remainder

1. polynomial functions 2. polynomial functionsa real polynomial p(x) of degree n is an expression of the form;p x p0 p1

1. polynomial results 2. polynomial results1. if p(x) has k distinct real zeros, a1 , a2 , a3 ,, ak , then; x a1 x a2 x a3 x

polynomial theorems polynomial theorems remainder theorem if the polynomial p(x) is divided by (x a), then the remainder is p(a) polynomial theorems remainder theorem

1. polynomial theorems 2. polynomial theorems remainder theorem if the polynomial p(x) is divided by (x a), then the remainder is p(a) 3. polynomial theorems remainder

1. polynomial results 2. polynomial results 1. if p(x) has k distinct real zeros, a1 , a2 , a3 ,, ak , then; x a1 x a2 x a3 x