Dividing polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial, 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 synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - 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 by the known length.

Front

What is the result of dividing (2x³ + 4x² - 5) by (x + 3)?

Back

2x² - 2x + 6 - 23/(x + 3)

Front

What is the result of dividing (4x² - 24x + 35) by (2x - 5)?

Back

2x - 7

Front

What is the missing term in the polynomial 2x³ + 5x² + 9 ÷ (x + 3)?

Back

x

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 does the remainder represent in polynomial division?

Back

The remainder represents what is left over after division and can be expressed as a fraction of the divisor.

Front

What is the formula for synthetic division?

Back

The formula involves writing the coefficients of the polynomial and using the value of c from (x - c) to perform the division.