Divide two polynomials using long division

The video tutorial explains how to perform polynomial long division, emphasizing the importance of using zero coefficients as placeholders for missing terms. It walks through the division process step-by-step, showing how to handle remainders and add them to the quotient. The tutorial concludes with a summary of the division process and its outcomes.

Why is it important to include zero coefficients for missing terms in polynomial division?

• To make the polynomial look longer

• To ensure correct alignment during division

• To confuse the solver

• To make the polynomial easier to read

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

• Adding the terms

• Subtracting the terms

• Multiplying the divisor by the quotient

• Dividing the leading term of the dividend by the leading term of the divisor

During polynomial long division, what do you do after multiplying the divisor by the current quotient term?

• Add the result to the dividend

• Subtract the result from the dividend

• Multiply the result by the next term

• Divide the result by the next term

What indicates that you have reached the remainder in polynomial long division?

• When the dividend is completely divided

• When the divisor cannot divide the current term

• When the remainder is zero

• When the divisor is larger than the current term

How do you express the final result of a polynomial division when there is a remainder?

• Divide the remainder by the divisor and add it to the quotient

• Ignore the remainder

• Add the remainder to the quotient

• Subtract the remainder from the quotient