Math 3 Simplify Rational Expressions (intro)

Front

What is the factored form of x^2 - 10x + 24?

Back

(x-4)(x-6)

Front

Simplify: \(\frac{(r-9)(r+4)}{3(r+10)} \cdot \frac{r-7}{(r-9)(r-7)}\)

Back

\(\frac{r+4}{3(r+10)}\)

Front

Simplify: \(\frac{7(m+6)}{(m+6)(m-3)}\)

Back

\(\frac{7}{m-3}\)

Front

Factor out the GCF from 3x^3 + 9x.

Back

3x(x^2 + 3)

Front

Multiply and Simplify: \(\frac{x+3}{4} \cdot \frac{x+2}{(x+3)(x+1)}\)

Back

\(\frac{x+2}{4(x+1)}\)

Front

What is a rational expression?

Back

A fraction where the numerator and the denominator are polynomials.

Front

What is the first step in simplifying a rational expression?

Back

Factor the numerator and the denominator.

Front

What does GCF stand for in mathematics?

Back

Greatest Common Factor.

Front

How do you find the GCF of two terms?

Back

List the factors of each term and identify the largest factor they have in common.

Front

What is the result of multiplying two fractions?

Back

Multiply the numerators together and the denominators together.