Dividing Polynomials by Binomials using Long Division

This video tutorial teaches how to divide polynomials by binomials using long division. It begins with a review of basic long division, followed by a discussion on distribution and dividing with exponents. The tutorial addresses common misunderstandings and provides examples of polynomial division, including checking solutions and handling non-standard form polynomials. The lesson concludes with a summary of the key concepts covered.

What is the first step in dividing 2376 by 18 using long division?

• Bring down the next digit

• Determine how many times 18 fits into 23

• Subtract 18 from 2376

• Multiply 18 by 2

When distributing 5 times (3X + 1), what is the result?

• 15X + 5

• 5X + 3

• 15X + 3

• 3X + 5

What is a common mistake when dividing polynomials?

• Dividing coefficients directly

• Ignoring remainders

• Combining like terms

• Dividing like terms

In the example of dividing 4X^2 - 8X - 21 by 2X + 3, what is the final solution?

• X + 7

• X - 7

• 2X + 7

• 2X - 7

How do you verify the solution of a polynomial division?

• By dividing the solution by the original denominator

• By subtracting the solution from the original numerator

• By multiplying the solution by the original denominator

• By adding the remainder to the solution

What is the remainder when dividing a polynomial that is not in standard form?

• 11

• 10

• 0

• 5

What should you do if a polynomial is missing an exponent term during division?

• Subtract the missing term from the numerator

• Ignore the missing term

• Add a placeholder for the missing term

• Multiply the missing term by zero