Polynomial Long Division

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 synthetic division?

Back

A simplified form of polynomial division that uses coefficients and is typically used when dividing by a linear factor.

Front

How do you determine if a binomial is a factor of a polynomial?

Back

Use the Factor Theorem: if substituting the root of the binomial into the polynomial yields zero, then it is a factor.

Front

What is the remainder in polynomial division?

Back

The value left over after dividing a polynomial, which can be expressed as a fraction over the divisor.

Front

What is the significance of the degree of a polynomial in division?

Back

The degree helps determine the number of times the divisor can fit into the dividend and influences the number of terms in the quotient.

Front

How do you check if your polynomial division is correct?

Back

Multiply the quotient by the divisor and add the remainder; the result should equal the original polynomial.

Front

What is the result of dividing 2x³ - 5x² + 3x + 7 by x - 2?

Back

2x² - x + 1 + 9/(x-2).

Front

What is the result of dividing 3x³ + 5x - 1 by x + 1?

Back

3x² - 3x + 8 - 9/(x+1).