# Radical Math and More!

### Lauren Mercier

## What will be discussed in this newsletter?

This newsletter will cover solving radical equations, synthetic division, and long division. Don't be scared, while these operations may sound hard and intimidating, each of them can actually be done in a few simple steps!

## Solving Radical Equations

## Step One: Isolate the radical on one side of the equation | ## Step Two: Raise each side to a power equal to the radical to eliminate the radical | ## Step Three: Solve and check the solutions for any extraneous solutions |

## Synthetic Division

## Step One: Write the polynomial in descending order (of the exponent), making sure to hold the place value (meaning writing in a zero if there is no term for any exponent) | ## Step Two: Write only the coefficient of each term and the constant and then in a box to the left of these numbers, write the solution to the factor | ## Step Three: Solve, following the arrows as shown in the picture. To start bring the first coefficient down, multiply it by the solution to the factor, and then write that answer under the next coefficient |

## Step One:

Write the polynomial in descending order (of the exponent), making sure to hold the place value (meaning writing in a zero if there is no term for any exponent)

## Step Two:

Write only the coefficient of each term and the constant and then in a box to the left of these numbers, write the solution to the factor

## Long Division

## Step One: Write the polynomial under the long division bar and the factor to the left of it. | ## Step Two: Determine what the first term of the factor needs to be multiplied by the be the same as the first term of the polynomial. Write this above the corresponding place value and solve as you would any simple long division problem. | ## Step Three: Continue this process until you have no more terms (if you are left with a number other than zero this will be a remainder) |

## Step Two:

Determine what the first term of the factor needs to be multiplied by the be the same as the first term of the polynomial. Write this above the corresponding place value and solve as you would any simple long division problem.

## Still confused? Watch this video

Math Newsletter

## Coming Soon (Start Studying!)

Quiz 4: Tuesday December 8

Test 2: Thursday December 10