Factoring negative exponent

A negative exponent is a way of saying 'divide by the thing under the exponent' also known as a reciprocal, so `x-1 = (1/x)` . Negative exponents can also be different from -1. In this case the negative exponent acts like a normal exponent, so ` x-2 = (x-1)2` = `(1/x)``x-a = (1/xa)` The formula for a negative exponent in terms of a normal exponent is

In the case where the negative exponent is `2x - a` , it would be written as` 2/xa ` (source: wikipedia)

Factoring negative exponent deals with the factoring method of solving equation. Example Problem for Factoring Negative Exponent:

Example for factoring negative exponent 1: `-40x^-3 + 6x^-1 + 2` solve for factoring negative exponent?

At the first step we have to conclude that the order of the given equation having equal sign or not. Here the order of

the given equation have equal sign as (-ve) sign.

`-40x^-3 + 6x^-1 + 2 = 0`

In order to acquire exonerate of the negative exponents, multiply from beginning to end of the given factors by x^3:

`-40 + 6x^2 + 2x^3 = 0 `

Rearranging to standard form:

`2x^3 + 6x^2 - 40 = 0 `

Now we can solve the cubic equation as like our own way. Here, by synthetic division method we solved the equation

step by step is shown below. The value of `x = 2.`

Step1: Take the co-ordinates of x, and put them in synthetic division method.

Step 2: Now perform the operation `2*2` and get the result and proceed the next step.

Step 3: Perform the above operation untill the values get solved.

Step 4: Stop the process when zero obtained, and considered the values as a result and perform the qudratic

equation.

Now, we get an qudratic equation, by solving this equation by 'solving quadratic equation method', we get the value of

x as 2.

Example for factoring negative exponent 2: Factor the negative exponent `-40x^-2 + 6x^-1 + 2` .

In order to acquire exonerate of the negative exponents, multiply from beginning to end of the given factors by `x^2` : `-40x^-2 + 6x^-1 + 2 = 0`

In order to get rid of the negative exponents, multiply through by `x^2` : `-20 + 4x^1 + 2x^2 = 0 `

Rearranging to standard form: `2x^2 + 4x - 20 = 0 `

Now we can solve the equation as like our own way as like as qudratic equation. Example Problem for Factoring Negative Exponent:

Example for factoring negative exponent 3:` -8x^-2 + 4x^-1 + 1=0.` Factor the negative exponent?

In order to acquire exonerate of the negative exponents, multiply from beginning to end of the given factors by `x^2:` `-8x^-2 + 4x^-1 + 1 = 0`

In order to get rid of the negative exponents, multiply through by `x^2:` `-8 + 4x^1 + x^2 = 0 `

Rearranging to standard form: `x^2 + 4x -8 = 0 `

Now we can solve the equation as like our own way as like as qudratic equation.

Know more Polynomial Factoring i found this link interesting Adding and Subtracting Rational Expressions

Related Articles - Factoring, negative, exponent,

Email this Article to a Friend! Receive Articles like this one direct to your email box! Subscribe for free today!