12.10_Factor, rational exp, inverse_Qz

Front

Simplify the expression: (x+6)/(x+4) + (x+6)/(x-5)

Back

(x+6)/(x-5)

Front

Factor the quadratic expression: n^2 - 13n + 40

Back

(n-5)(n-8)

Front

What is the inverse of the points (1,3), (2,4), (6,8)?

Back

(3,1), (4,2), (8,6)

Front

Find the inverse of the function: f(x) = x^2 - 5

Back

f^-1(x) = ±√(x+5)

Front

Define a rational expression.

Back

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

Front

What is the definition of factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

Front

Explain the concept of an inverse function.

Back

An inverse function reverses the operation of the original function, such that if f(x) = y, then f^-1(y) = x.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, eliminating any unnecessary terms or factors.