Polynomial Long Division

Front

What is Polynomial Long Division?

Back

A method used to divide a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in Polynomial Long Division?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What do you do after dividing the leading terms in Polynomial Long Division?

Back

Multiply the entire divisor by the result from the first step and subtract this from the dividend.

Tags

CCSS.HSA.APR.D.6

Front

What is the purpose of subtracting in Polynomial Long Division?

Back

To eliminate the leading term of the dividend and bring down the next term.

Tags

CCSS.HSA.APR.D.6

Front

What do you do after subtracting in Polynomial Long Division?

Back

Repeat the process: divide, multiply, and subtract until the degree of the remainder is less than the degree of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What is a remainder in Polynomial Long Division?

Back

The leftover polynomial after the division process is complete, which cannot be divided by the divisor.

Tags

CCSS.HSA.APR.D.6

Front

How do you express the result of Polynomial Long Division?

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The result is expressed as the quotient plus the remainder divided by the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What is the quotient in Polynomial Long Division?

Back

The polynomial obtained from the division process, representing how many times the divisor fits into the dividend.

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of the leading coefficient in Polynomial Long Division?

Back

It determines the first term of the quotient and affects the overall division process.

Tags

CCSS.HSA.APR.D.6

Front

How do you handle polynomials with missing degrees during Polynomial Long Division?

Back

Insert a placeholder (0) for any missing degrees to maintain the correct structure of the polynomial.

Tags

CCSS.HSA.APR.D.6