Mon Dec 2.... 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. It results in a quotient and a remainder.

Front

What is the quotient in the division of (21x^2 - 52x + 32) by (7x - 8)?

Back

3x - 4

Front

What is the missing term when dividing 2x^3 + 5x^2 + 9 by (x + 3)?

Back

x

Front

What is the order of polynomial coefficients in (3x - 4x^3 + 6x^4 + 1) / (x + 3)?

Back

6, -4, 0, 3, 1

Front

What is the width of a rectangular pool table with area x^2 + 14x + 40 and length x + 4?

Back

x + 10

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor. It is faster and requires less writing.

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 theorem state?

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 degree of a polynomial?

Back

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

Front

What is the leading coefficient of the polynomial 6x^4 - 4x^3 + 3x + 1?

Back

6