Polynomials Examples

Negative exponents are basically abbreviations for big ugly fractions. In the same way that it's quicker to write LMAO in place of the longer version, negative exponents will make it much easier to...

Since exponents can be any real number and variables are basically the alien decoys of real numbers, we can write down expressions like 2x. We don't love to do it, but we can. We can evaluate the...

Each term in a polynomial has what's called a degree, or a value based on the exponent attached to its variable. The degree of 9x2 is 2, for example. You may be unfamiliar with a degree of 2 unless...

When finding the degree of a multivariable polynomial, remember to keep your head above ground. That goes for any ostriches who may be reading this. Ignore the constants and look for the exponents...

Evaluating a polynomial is like evaluating any other expression. We substitute the given value(s) for each and every variable. Then we do the necessary plusing and minusing to find an answer. If yo...

Adding PolynomialsTo add polynomials, all we do is combine like terms in the same way as we would with any other expression. Sorry, we know you were probably hoping for something new and wildly dif...

The easiest case of polynomial multiplication is multiplying a monomial and a polynomial. In this case, we "distribute" the monomial to each term in the polynomial. We really do distribute it, thou...

Multiplying two binomials is still an application of the distributive property. In fact, we can use the distributive property even more than we did in the first example. It's like the stuffing and...

There are some special cases of binomial multiplication that every algebra student should know. Some are useful because they can save you from doing more work than you absolutely need to. Others ar...

Alas, there are no quick and easy patterns to use when we're multiplying any two polynomials that don't fit the description of one of our special cases. We just need to apply the distributive pr...

Been here and done this, but we'll go through a couple of examples to jog your memory. Sorry, we know how much your memory despises physical exercise.Sample ProblemFactor the polynomial x2 + x.S...

Sometimes we can tell by looking at a polynomial that it's a product of a particular type. Not that we want to put polynomials into a box, but...it does preserve their freshness.Difference of Two S...

We already know how to factor quadratic polynomials that are the result of multiplying a sum and difference, or the result of squaring a binomial with degree 1. Once in a while, though, trinomials...

Factoring by grouping is like "undistributing" or unwrapping our polynomial. You pictured a baked potato too, huh?The simplest situation in which we can factor by grouping is when we have a four-t...

Scientific NotationEarth-shattering fact: scientists use math. Some mathematicians even use science. Too bad more of them don't use soap. Ooh, ice burn.We're not only talking about white-haired dud...