Multiply and Divide Rational Expressions

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 multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

What is the formula for factoring a quadratic expression?

Back

The formula for factoring a quadratic expression ax^2 + bx + c is to find two numbers that multiply to ac and add to b.

Front

What is the result of multiplying (x^2y) * (3y^5) / (4xy * x^4)?

Back

(3y^5)/(4x^3) after simplification.

Front

How do you factor the expression x^2 + 3x - 10?

Back

It factors to (x + 5)(x - 2).

Front

What is the result of multiplying (x - 3)(x + 5) / (4x + 20) / (x^2 - 9)?

Back

1/(4(x + 3)) after simplification.

Front

What is the result of dividing (3x + 12) by (x + 4) / (x^2 + 5x + 6)?

Back

15/(x + 2) after simplification.

Front

What is the result of dividing (x^2 - 4x - 5) by (x^2 - 3x - 10)?

Back

(x + 1)/(x - 1) after simplification.