How do you divide polynomials in algebra?

  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 divide polynomials step by step?

How To: Given two polynomials, use synthetic division to divide

  1. Write k for the divisor.
  2. Write the coefficients of the dividend.
  3. Bring the leading coefficient down.
  4. Multiply the leading coefficient by k.
  5. Add the terms of the second column.
  6. Multiply the result by k.
  7. Repeat steps 5 and 6 for the remaining columns.

When dividing polynomials What is the first step?

Step 1: Rewrite as a long division problem. Make sure that both polynomials are written in descending order, filling in any missing terms with a zero term. Step 2: a) Divide the first term of the dividend by the first term of the divisor.

What are the two methods of dividing polynomials?

There are two methods in mathematics for dividing polynomials. These are the long division and the synthetic method. As the name suggests, the long division method is the most cumbersome and intimidating process to master. On the other hand, the synthetic method is a “fun” way of dividing polynomials.

How do you factor polynomials?

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

How do you divide polynomials with exponents?

To simplify each term, divide the coefficients and apply the quotient rule for exponents. When dividing a polynomial by another polynomial, apply the division algorithm. To check the answer after dividing, multiply the divisor by the quotient and add the remainder (if necessary) to obtain the dividend.

What are the steps in dividing polynomials using 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.