Front

What is Polynomial Long Division?

Back

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

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.

Front

What do you do after finding the first term in Polynomial Long Division?

Back

Multiply the entire divisor by the term found and subtract the result from the dividend.

Front

What is a remainder in Polynomial Long Division?

Back

The value left over after dividing a polynomial, which cannot be divided by the divisor anymore.

Front

How can you determine if (x - c) is a factor of a polynomial f(x)?

Back

Use the Remainder Theorem: if f(c) = 0, then (x - c) is a factor.

Front

What is the Remainder Theorem?

Back

It states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).

Front

What does it mean if the remainder is zero in Polynomial Long Division?

Back

It means that the divisor is a factor of the dividend.

Front

How do you express the result of Polynomial Long Division?

Back

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

Front

What is the quotient in Polynomial Long Division?

Back

The result of the division, representing how many times the divisor fits into the dividend.

Front

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

Back

It helps determine the first term of the quotient and influences the overall division process.