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Polynomials voc.
Basic vocabulary about polynomials
Question | Answer |
---|---|
What do you use Ruffini´s theorem for? | To divide a polynomial by a monomial of the type (x-a) |
Remainder theorem | The reminder of a division of a polynomial P(x) by a monomial of the type (x-a) is P(x=a). In the same way, the reminder of a division of a polynomial P(x) by a monomial of the type x+a is P(x=(-a)) |
Factor theorem | A polynomial P(x) can be divided by a monomial of the type (x-a) only if x=a is a root od P(x), i.e., P(x=a)=0. |
Root of a polynomial | A number a is a root of a polinomial P(x) if P(x=a)=0. |
Monomial | Product of a number (coefficient) multiplied by one or several letters (literal part) |
Polynomial | Addition or subtraction of multiple monomials |
Algebraic fraction | The quotient of two polynomials P(x) /Q(x) |
Degree of a polynomial | The highest degree of its monomials. |
Literal part | The set of letters in a monomial |
Constant term | Degree = monomial in a polynomial. |
Coefficient | Number a variable or a set of variables has been multiplied by. |
Variable | a letter used to stand for values that can change |
To factorize a polynomial | To express a polynomial as a product of two or more irreducible factors (monomials, binomials or polynomials of a lower degree) |