How do you divide a polynomial by a binomial?

How do you divide a polynomial by a binomial?

Long Division of a Polynomial by a Binomial

1. Divide the highest degree term of the polynomial by the highest degree term of the binomial.
2. Multiply this result by the divisor, and subtract the resulting binomial from the polynomial.

How do I divide polynomials?

Dividing Polynomials Using Long Division

1. Divide the first term of the dividend (4×2) by the first term of the divisor (x), and put that as the first term in the quotient (4x).
2. Multiply the divisor by that answer, place the product (4×2 – 12x) below the dividend.
3. Subtract to create a new polynomial (7x – 21).

How do you divide polynomials by binomials 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.

How is dividing polynomials like dividing integers?

The process of dividing polynomials is just similar to dividing integers or numbers using the long division method. Divide the 1st term of the dividend by the 1st term of the divisor to obtain the 1st term of the quotient.

How do you synthetically divide polynomials?

How do you divide with exponents?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

What are the rules for dividing polynomials?

To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1 st term of the dividend by the 1 st term of the divisor to obtain the 1 st term of the quotient. Find the product of all the terms of the divisor and the 1 st term quotient and subtract the dividend’s answer.

How do you divide polynomials?

To divide a polynomial by a monomial, we form a fraction with the monomial in the de- nominator. Then divide the denominator into each term. To divide polynomials by multiple-term polynomials, we need to do long division.

How to divide polynomials with long division?

Set up the division problem.

Determine the first term of the quotient by dividing the leading term of the dividend by the leading term of the divisor.

Multiply the answer by the divisor and write it below the like terms of the dividend.

Subtract the bottom binomial from the top binomial.

Bring down the next term of the dividend.

Repeat steps 2–5 until reaching the last term of the dividend.

If the remainder is non-zero,express as a fraction using the divisor as the denominator.

How do you divide using synthetic division?

Synthetic division is a shorthand method of dividing polynomials where you divide the coefficients of the polynomials, removing the variables and exponents. It allows you to add throughout the process instead of subtract, as you would do in traditional long division.