Unit 6 Add/Subtract Rational Functions

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

Front

How do you add rational functions with different denominators?

Back

To add rational functions with different denominators, find a common denominator, rewrite each function with that denominator, and then combine the numerators.

Front

What is the process of subtracting rational functions?

Back

To subtract rational functions, find a common denominator, rewrite each function with that denominator, and then subtract the numerators.

Front

What is the formula for the sum of two rational functions?

Back

If f(x) = P(x)/Q(x) and g(x) = R(x)/S(x), then f(x) + g(x) = (P(x)S(x) + R(x)Q(x)) / (Q(x)S(x)).

Front

What is the formula for the difference of two rational functions?

Back

If f(x) = P(x)/Q(x) and g(x) = R(x)/S(x), then f(x) - g(x) = (P(x)S(x) - R(x)Q(x)) / (Q(x)S(x)).

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor a quadratic trinomial?

Back

To factor a quadratic trinomial of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the trinomial as a product of two binomials.

Front

What is the difference of squares?

Back

The difference of squares is a factoring technique used for expressions of the form a^2 - b^2, which can be factored as (a + b)(a - b).

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree three, typically expressed in the form ax^3 + bx^2 + cx + d.

Front

What is the sum of cubes formula?

Back

The sum of cubes can be factored using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2).