Division of Polynomials ReTest

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

What is the first step in polynomial long division?

Back

The first step is to divide the leading term of the dividend by the leading term of the divisor to find the first term of the quotient.

Front

How do you handle the remainder in polynomial long division?

Back

The remainder is expressed as a fraction with the divisor as the denominator, added to the quotient.

Front

What is the result of dividing 3x^3 - 2x^2 - 7x + 6 by x + 1?

Back

The result is 3x^2 - 5x - 2 + 8/(x + 1).

Front

What does it mean if a division problem is incorrect?

Back

It means that there was an error in the calculation process, which can occur at any step of the long division.

Front

What is the purpose of checking your work in polynomial division?

Back

Checking your work helps to ensure that the division was performed correctly and that the quotient and remainder are accurate.

Front

What is the quotient when dividing (4x^4 - 3x^3 - 4x^2 - x + 3) by (4x - 3)?

Back

The quotient is x^3 - x - 1.

Front

How do you set up a polynomial long division problem?

Back

Write the dividend under the long division symbol and the divisor outside, aligning the terms by their degree.

Front

What is the significance of the leading coefficient in polynomial division?

Back

The leading coefficient affects the degree of the quotient and the overall behavior of the polynomial as x approaches infinity.

Front

What is the result of dividing (x^2 + 2x - 63) by (x + 9)?

Back

The result is x - 7.