- Can you use synthetic division instead of long division?
- Would you rather use long division or synthetic division to divide polynomials?
- How do you know what to divide by in synthetic division?
- What is the quotient in synthetic division?
- What are the steps to dividing polynomials?
- How do you multiply and divide algebraic expressions?

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.

- Step 1: Set up the synthetic division.
- Step 2: Bring down the leading coefficient to the bottom row.
- Step 3: Multiply c by the value just written on the bottom row.
- 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?

- Divide the first term of the numerator by the first term of the denominator, and put that in the answer.
- Multiply the denominator by that answer, put that below the numerator.
- 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.

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