Radicals, Complex Numbers, Rational Expressions Take-Home Flashcard

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - a) is equal to f(a).

Front

How do you find the roots of a quadratic equation?

Back

Front

What is a complex number?

Back

Front

What is the standard form of a polynomial?

Back

Front

How do you evaluate a polynomial at a specific value?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

What is the process for dividing polynomials?

Back

To divide polynomials, use long division or synthetic division to find the quotient and remainder.

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and cancel any common factors.

Front

What is the conjugate of a complex number?

Back