Polynomial Division (No Remainders)

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial of equal or lower degree, resulting in a quotient and possibly a remainder.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the quotient in polynomial division?

Back

The quotient is the result of dividing one polynomial by another, representing how many times the divisor fits into the dividend.

Front

What does it mean to divide polynomials with no remainders?

Back

Dividing polynomials with no remainders means that the dividend is exactly divisible by the divisor, resulting in a whole number quotient.

Front

How do you perform polynomial long division?

Back

1. Divide the leading term of the dividend by the leading term of the divisor. 2. Multiply the entire divisor by this result. 3. Subtract this from the dividend. 4. Repeat the process with the new polynomial.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear divisor, typically of the form (x - c), using only the coefficients of the polynomial.

Front

What is the result of dividing x^3 - 3x^2 - 10x + 24 by x + 3?

Back

The result is x^2 - 6x + 8.

Front

What is the result of dividing 27x^3 + 9x^2 - 3x - 10 by 3x - 2?

Back

The result is 9x^2 + 9x + 5.

Front

What is the result of dividing (5x^2 - 16x - 16) by (x - 4)?

Back

The result is (5x + 4).

Front

What is the result of dividing (5n^2 - 25n + 20) by (n - 4)?

Back

The result is 5n - 5.