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Algebra

Formula for the discriminant of a quadratic equation

Discriminant of a Quadratic Equation – Formula and Examples

Quadratic equations are algebraic equations that have the form ax²+bx+c=0. Considering this form, the discriminant of a quadratic equation is … Read more

Categories Algebra
Solving quadratic equations with the quadratic formula

Solving Quadratic Equations with the Quadratic Formula

Quadratic equations are algebraic equations that have the form ax²+bx+c=0. There are several methods that we can use to solve … Read more

Categories Algebra
Formula to complete the square white background

Completing the Square – Examples and Practice Problems

The technique of completing the square is a factoring technique that allows us to convert a given quadratic expression or … Read more

Categories Algebra
Formula to complete the square white background

Solve a Quadratic by Completing the Square

To solve quadratic equations using the method of completing the square, we need to convert an equation from the form … Read more

Categories Algebra
the factor theorem

Factor Theorem – Examples and Practice Problems

The Factor Theorem is frequently used to factor a polynomial and to find its roots. The polynomial remainder theorem is … Read more

Categories Algebra
exponential growth and exponential decay

Exponential Decay – Formulas and Examples

We can model real-life situations with exponential functions. One of these situations is population decline. There are “standard” formulas that … Read more

Categories Algebra
pascals triangle diagram

Properties of Pascal’s Triangle

Pascal’s triangle is a type of number pattern. The numbers are arranged in a way that reflects a triangle. First, … Read more

Categories Algebra
pascals triangle diagram

Applications of Pascal’s Triangle

Pascal’s triangle has many applications in mathematics and statistics. We can use Pascal’s triangle to find the binomial expansion. Also, … Read more

Categories Algebra
complex numbers in polar form

Complex Numbers in Polar Form – Formulas and Examples

By now we are familiar with writing complex numbers in the form z=a+bi. However, there are alternative ways of writing complex … Read more

Categories Algebra
Euler's formula for complex numbers

Euler’s Formula for Complex Numbers

In the study of complex numbers, as well as in the integration of trigonometric expressions, it is very likely that … Read more

Categories Algebra
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