Rational Roots TestWorked Examples Purplemath What is a zero or root of a polynomial? The zero of a polynomial is an input value (usually an x-value) that returns a value of zero for the whole polynomial when you plug it into the polynomial. When a zero is a real (that is, when ...
MathHelp.com The process for finding the determinants of3×3matrices, while a bit messier, is still pretty straightforward: You add repeats of the first and second columns to the end of the determinant, multiply along all the diagonals, and add and subtract according to the rule: ...
MathHelp.com Adding and Subtracting Unlike Fractions You've heard the expression, "You can't add apples and oranges". In the context of fractions, this means that we cannot add different types of fractions. To add two fractions, they must have the same (that is, a shared or "common")...
MathHelp.com The name "determinant" comes from their original use; namely, to "determine" whether a given system of linear equations had a unique solution. In this lesson, I'll show you how to compute 2×2 and 3×3 determinants. It is possible to compute larger determinants, but theproc...
What is an example of a function (in math)? One example of a function would be a pairing of families with their current (primary) home addresses. Given a family, there will be only one address at which the family members live for most or all of the year. The set of all the address...
You'll probably have only a few test questions on quadrants, and then you'll hardly see the topic again until trigonometry.Content Continues Below In which quadrant is the point (−2, −3)?The simplest way for me to answer this is to plot the point: Now I can see that the point...
Purplemath What is Cramer's Rule? Cramer's Rule is a method of solving systems of linear equations by dividing the values of two determinants. One determinant comes from the coefficient matrix; the other is created by replacing the column for a particular variable with the "answer" column whi...
Need a custom math course? K12 | College | Test Prep Logically, mathematical identities are tautologies; that is, they are expressions which restate the same expression in a different way. In other words, the identities allow you to restate a trig expression in a different format, but one wh...
Purplemath What is the LCM? "LCM" stands for "least common multiple". Given two numbers, their LCM is the least (that is, the smallest) common (that is, shared) multiple of those two numbers. For instance, given the two numbers 4 and 5, their LCM is the smallest number that ...
MathHelp.com x and y-Intercepts What are x-intercepts and y-intercepts?An x-intercept is where a graph crosses (or at least touches) the x-axis (that is, the horizontal axis); a y-intercept is where the graph crosses (or just touches) the y-axis (that is, the vertical axis).So...