How to use long division to divide two polynomials

The video tutorial explains the use of synthetic division for linear divisors and the necessity of long division for nonlinear divisors. It covers the process of polynomial division, emphasizing the importance of standard form and place value. The tutorial walks through the division steps, including subtraction and handling remainders, and concludes with a summary of the division process.

What type of division should be used when the divisor is nonlinear?

• Synthetic division

• Long division

• Matrix division

• Partial fraction decomposition

In polynomial division, what should you do if there is no term for a certain power?

• Ignore it

• Use a placeholder with zero

• Add a random term

• Multiply by the highest power

What is the first step in polynomial division?

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

• Multiply the divisor by the dividend

• Add the divisor to the dividend

• Subtract the divisor from the dividend

How do you handle non-like terms during polynomial division?

• Add them together

• Ignore them

• Subtract them directly

• Rewrite them with place values

What is the result when you multiply a term by zero in polynomial division?

• The term becomes zero

• The term doubles

• The term remains unchanged

• The term is halved

What should be done if the remainder is not zero in polynomial division?

• Ignore the remainder

• Add the remainder to the quotient

• Write the remainder over the divisor

• Multiply the remainder by the divisor

What is the correct way to write the final answer in polynomial division?

• Quotient plus remainder over divisor

• Divisor plus remainder over quotient

• Remainder only

• Quotient only