Dividing Polynomials practice for FLASHCARD

Front

What is the remainder R when the polynomial p(x) is divided by (x-5)? p(x) = x^3 - 5x^2 + 2x - 10

Back

0

Front

What is another word for zeros?

Back

roots

Front

One root of 2x^3 - 13x^2 + 36 is 2. What is another zero?

Back

6

Front

What are the roots of the equation y=5x^2+5x-30?

Back

{-3, 2}

Front

The answer to a division problem is known as the...?

Back

quotient

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is synthetic division?

Back

Synthetic division is a shorthand method of dividing a polynomial by a linear divisor.

Front

What is the Factor Theorem?

Back

The Factor Theorem states that a polynomial f(x) has a factor (x - c) if and only if f(c) = 0.

Front

What is the Remainder Theorem?

Back

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

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.