dividing polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial of equal or lower degree, similar to long division with numbers.

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 obtained from dividing one polynomial by another.

Front

What is the remainder in polynomial division?

Back

The remainder is what is left over after dividing one polynomial by another, if the division is not exact.

Front

How do you perform long division with polynomials?

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 with the new polynomial.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that a polynomial f(x) has a factor (x - c) if and only if f(c) = 0.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

How do you find the width of a rectangle if you know the area and one side?

Back

To find the width, divide the area polynomial by the known side polynomial using polynomial division.

Front

Back