Answer: In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3×2 – x + 7.

## Can you use synthetic division instead of long division?

You can use long division or synthetic division.

## Would you rather use long division or synthetic division to divide polynomials?

The method I would prefer to use to divide polynomials would be long division. In synthetic division if you’re dividing two polynomials, the denominator should look like this: x+b. Long divison can be complicated but it gets the job done.

## How do you know what to divide by in synthetic division?

Synthetic division is another way to divide a polynomial by the binomial x – c , where c is a constant.

1. Step 1: Set up the synthetic division.
2. Step 2: Bring down the leading coefficient to the bottom row.
3. Step 3: Multiply c by the value just written on the bottom row.
4. Step 4: Add the column created in step 3.

## What is the quotient in synthetic division?

P(x) is the dividend, Q(x) is the quotient, and R(x) is the remainder. x3 − 5×2 + 3x − 7 is the dividend, x2 − 3x −3 is the quotient, and −13 is the remainder. Here is how to do this problem by synthetic division. First, to use synthetic division, the divisor must be of the first degree and must have the form x − a.

## What are the steps to dividing polynomials?

1. Divide the first term of the numerator by the first term of the denominator, and put that in the answer.
2. Multiply the denominator by that answer, put that below the numerator.
3. Subtract to create a new polynomial.

## How do you multiply and divide algebraic expressions?

In multiplying and dividing algebraic expressions, it is important to first multiply the numbers, then the letters.

1. Multiplication and division of algebraic expressions by a number (constant).
2. a) 2 × t = 2t b) m × 2 = 2m c) 2t × 5 = 10t.
3. The convention is to write the number first then the letters.