Simplifying Polynomial Fractions Review (7, 8, 9)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to simplify a polynomial fraction?

Back

Simplifying a polynomial fraction involves reducing the fraction to its simplest form by factoring the numerator and denominator and canceling out any common factors.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

How do you factor a polynomial?

Back

To factor a polynomial, you can look for common factors, use techniques like grouping, or apply special formulas such as the difference of squares or the quadratic formula.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

What is the process for adding polynomial fractions?

Back

To add polynomial fractions, find a common denominator, rewrite each fraction with that denominator, and then combine the numerators.

Front

What is the process for subtracting polynomial fractions?

Back

To subtract polynomial fractions, find a common denominator, rewrite each fraction with that denominator, and then subtract the numerators.

Front

What is a rational expression?

Back

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

Front

How do you multiply polynomial fractions?

Back

To multiply polynomial fractions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the importance of factoring in simplifying polynomial fractions?

Back

Factoring is important because it allows you to identify and cancel common factors in the numerator and denominator, simplifying the expression.