Math III EOC Review #3

Front

What does it mean to reduce a fraction to lowest terms?

Back

To reduce a fraction to lowest terms means to simplify it so that the numerator and denominator have no common factors other than 1.

Front

How can you find the remainder of a polynomial when divided by a linear factor?

Back

You can find the remainder of a polynomial p(x) when divided by (x - c) by evaluating p(c).

Front

What is the expansion of (2x - 3y)²?

Back

(2x - 3y)² = 4x² - 12xy + 9y².

Front

If p(5) = -8, what does this imply about the polynomial p(x)?

Back

It implies that the remainder of p(x) when divided by (x - 5) is -8.

Front

What is a rational expression?

Back

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

Front

What is the process of polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to numerical long division.

Front

What is the Remainder Theorem?

Back

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

Front

What does it mean for (x - c) to be a factor of p(x)?

Back

It means that when p(x) is divided by (x - c), the remainder is 0.

Front

How do you determine if two rational expressions are equivalent?

Back

Two rational expressions are equivalent if they simplify to the same simplest form.

Front

What is the significance of evaluating a polynomial at a specific point?

Back

Evaluating a polynomial at a specific point gives the value of the polynomial at that point, which can indicate factors and roots.