Dividing Polynomials and Rational Expressions

The video tutorial covers dividing rational expressions, simplifying complex fractions, and dividing polynomials by monomials and binomials. It introduces the keep-change-flip method for rational expressions, demonstrates factoring and cancellation for complex fractions, and explains how to separate terms when dividing by monomials. The tutorial also covers long division for dividing polynomials by binomials, including handling remainders.

What is the first step in dividing rational expressions using the 'keep, change, flip' method?

• Factor the numerator

• Change the division to multiplication

• Flip the first fraction

• Keep the second fraction the same

When simplifying complex fractions, what does the 'keep, change, flip' technique involve?

• Keeping the second fraction the same

• Changing multiplication to division

• Flipping the first fraction

• Changing division to multiplication

How do you divide a polynomial by a monomial?

• Add the monomial to each term

• Separate the fraction into individual terms

• Multiply the polynomial by the monomial

• Combine all terms into one fraction

What is the result of dividing 8x^3 by 4x?

• 4x^3

• 2x^3

• 4x^2

• 2x^2

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

• Add the result to the dividend

• Divide the result by the next term

• Multiply the result by the next term

• Subtract the result from the dividend

What is the remainder when dividing 8x^2 + 6x - 12 by 2x - 3?

• 18

• 9

• 12

• 15

When dividing a polynomial by a binomial, what should you do if a term is missing in the dividend?

• Subtract the missing term from the divisor

• Multiply the missing term by the divisor

• Ignore the missing term

• Add a zero coefficient for the missing term

What is the first step in dividing 4x^3 + 10x - 8 by x - 2?

• Subtract x - 2 from each term

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

• Add x - 2 to each term

• Multiply the entire expression by x - 2

What is the quotient when dividing 4x^3 + 10x - 8 by x - 2?

• 4x^2 + 8x + 26

• 4x^2 + 8x + 10

• 4x^2 + 10x + 8

• 4x^2 + 10x + 26

What is the remainder when dividing 4x^3 + 10x - 8 by x - 2?

• 8

• 52

• 26

• 44