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Polynomial Vocablary
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Word | Definition |
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Polynomial | An expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power. |
Irrational Root Theorem | If a + sq root of b is a root of a given polynomial with rational coefficients, then is also a root. |
Pascal's Triangle | A triangle of numbers in which a row represents the coefficients of the binomial series. |
Multiplicity | A zero of a polynomial function is the number of times the related linear factor is repeated in the factored form of the polynomial. |
Rational Root Theorem | If p/q is the simplest form and is a rational root of the polynomial equation a n x^n+a n-1x^n-1+...+a n-1x^n+a 0=0 with integer coeficients, then p must be a factor of a 0 and q must be a factor of a n. |
Complex Conjugate | The complex numbers a+bi and a-bi. |
Imaginary Root Theorem | If the imaginary number a+bi is a root of a polynomial equations with real coefficients, then the conjugate a-bi also is a root. |
Remainder Theorem | If a polynomial P(x) of degree n > 1 is divided by (x - a), where a is a constant, then the remainder is P(a). |
Conjugate | Either of a pair of complex numbers of the type a + bi and a − bi, where a and b are real numbers and i is imaginary. |