Test #11 - Algebra 3

Front

Factor the Polynomial: 12x^3 - 21x^2 + 28x - 49

Back

(3x^2 + 7)(4x - 7)

Front

What is the partial fraction decomposition?

Back

Partial fraction decomposition is a method used to break down a complex rational expression into simpler fractions that are easier to integrate or manipulate.

Front

Subtract the following: 3 - 8 and 0 - 1

Back

3 - 4 and 8 - 13

Front

Solve the equation: x^4 + 7x^2 - 30 = 0

Back

x = ±i√10, ±√3

Front

Evaluate the determinant of the given matrix.

Back

-24

Front

What is the definition of a polynomial?

Back

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

Front

What is the quadratic formula?

Back

Front

Define a rational function.

Back

A rational function is a function that can be expressed as the ratio of two polynomials.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the process of completing the square?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form (x - p)^2 = q.