Steps in Long Division of Polynomials

Front

Step 1

Back

Divide the first term of the dividend by the first term of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

Step 2

Back

Multiply the entire divisor by the result from Step 1 and write it under the dividend.

Tags

CCSS.HSA.APR.D.6

Front

Step 3

Back

Subtract the result from Step 2 from the dividend to form a new polynomial.

Tags

CCSS.HSA.APR.D.6

Front

Step 4

Back

Repeat the process with the new polynomial as the dividend.

Tags

CCSS.HSA.APR.D.6

Front

Step 5

Back

Continue until the degree of the new dividend is less than the degree of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

Step 6

Back

The quotient is the combination of all the results from Step 1, and the remainder is the final new dividend.

Tags

CCSS.HSA.APR.D.6