Dividing two polynomials using long division algorithm

The video tutorial explains how to perform polynomial long division when the divisor has a coefficient. It walks through the process step-by-step, demonstrating how to divide, multiply, and subtract terms systematically. The tutorial emphasizes the importance of organizing terms and using parentheses during subtraction to avoid errors. By the end, viewers will understand how to apply the division algorithm to solve polynomial division problems with coefficients.

What is the form of the divisor in the given polynomial division problem?

• A constant

• A single variable

• A variable with a coefficient

• A quadratic expression

What is the first step in the polynomial long division process?

• Subtract the divisor from the dividend

• Divide the first term of the dividend by the first term of the divisor

• Add the divisor to the dividend

• Multiply the entire dividend by the divisor

When multiplying the quotient term by the divisor, what should you remember to do?

• Only multiply by the leading term of the divisor

• Multiply by both terms of the divisor

• Ignore the constant term in the divisor

• Multiply by the entire dividend

What should be done after multiplying the quotient term by the divisor?

• Multiply the result by the next term of the divisor

• Add the result to the dividend

• Divide the result by the next term of the dividend

• Subtract the result from the current dividend row

What is the final step in the polynomial long division process?

• Add all the remainders together

• Divide the remainder by the divisor

• Ensure all terms are zeroed out

• Multiply the final quotient by the divisor