What are the steps to dividing polynomials?

What are the steps to dividing polynomials?

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.

How does long division of polynomials work?

The result R = 0 occurs if and only if the polynomial A has B as a factor. Thus long division is a means for testing whether one polynomial has another as a factor, and, if it does, for factoring it out. For example, if a root r of A is known, it can be factored out by dividing A by (x – r).

How do you divide long division?

How to Do Long Division?

1. Step 1: Take the first digit of the dividend.
2. Step 2: Then divide it by the divisor and write the answer on top as the quotient.
3. Step 3: Subtract the result from the digit and write the difference below.
4. Step 4: Bring down the next number (if present).
5. Step 5: Repeat the same process.

How do you divide algebraic fractions?

To divide algebraic fractions, invert the second fraction and multiply it by the first fraction. Factorise the numerators and denominators. Then cancel the factors common to both the numerator and denominator before applying multiplication to obtain the answer.

How do you divide algebraic fractions using long division?

Algebraic Long Method

1. Arrange the indices of the polynomial in descending order.
2. Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor.
3. Multiply the divisor by the first term of the quotient.
4. Subtract the product from the dividend then bring down the next term.

What is dividing algebraic?

To divide two algebraic expressions, keep the first fraction the same, turn the division sign into a multiplication sign and turn the second fraction upside down.