Polynomial Long Division Concepts

This video tutorial teaches how to divide polynomials using long division. It covers setting up the division problem, performing the division step-by-step, and handling cases with zero and non-zero remainders. The video also explains how to deal with missing terms in polynomials and concludes with a brief explanation of why the remainder is added over the divisor in the final answer.

What is the first step in setting up a polynomial long division problem?

• Write the quotient below the division symbol.

• Place the dividend inside the division symbol.

• Place the divisor inside the division symbol.

• Multiply the divisor by the dividend.

In the first example, what is the result of dividing the first term of the dividend by the first term of the divisor?

• x

• x^2

• 3x

• 4x

What should you do if the first terms do not cancel out during subtraction?

• Continue with the next step.

• Multiply the terms again.

• Check the previous division or multiplication steps.

• Add a placeholder term.

How do you verify if the division result is correct?

• By adding the quotient and divisor.

• By subtracting the divisor from the dividend.

• By dividing the quotient by the divisor.

• By multiplying the quotient by the divisor.

What is the first step when the remainder is not zero?

• Write the remainder over the divisor.

• Add the remainder to the quotient.

• Ignore the remainder.

• Subtract the remainder from the dividend.

When should you stop the division process?

• When the quotient is a constant.

• When the degree of the remainder is less than the divisor.

• When the dividend is fully divided.

• When the remainder is zero.

What should you do if a polynomial has missing terms?

• Ignore the missing terms.

• Divide the missing terms separately.

• Multiply the missing terms by zero.

• Add placeholders for the missing terms.

Why do we add the remainder over the divisor in the final answer?

• To ensure the answer is a fraction.

• To simplify the quotient.

• To balance the equation.

• To represent the leftover part of the division.