Algebra Long Division of Polynomials

Front

What is the term for the number that divides the dividend in polynomial long division?

Back

Divisor

Front

Perform the polynomial long division: (3x^3 + 5x - 1) ÷ (x + 1). What is the result?

Back

3x^2 - 3x + 8 - 9/(x+1)

Front

Solve the polynomial division: (n^3 + 10n^2 + 31n + 32) /(n + 6). What is the quotient and remainder?

Back

n^2 + 4n + 7, remainder -10

Front

When dividing (x^2 + 5x - 8) by (x + 3), what is the remainder?

Back

-14

Front

What is synthetic division in the context of polynomials?

Back

A method used to divide a polynomial by a binomial of the form (x - c).

Front

What is the result of dividing (x^3 - 2x^2 + 4) by (x - 1)?

Back

x^2 - x + 5, remainder -1

Front

Define the term 'quotient' in polynomial long division.

Back

The result obtained from dividing one polynomial by another.

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

If the dividend is of a higher degree than the divisor, what can be concluded about the division?

Back

The division can proceed, and a polynomial quotient will be obtained.

Front

What is the significance of the remainder in polynomial long division?

Back

It indicates what is left over after the division process.