Dividing and Multiplying Polynomials

This video tutorial covers the multiplication and division of polynomials, focusing on handling negative exponents and simplifying expressions. It begins with multiplying two polynomials, addressing negative exponents by moving them to the denominator, and simplifying through cross-canceling. The tutorial then transitions to dividing polynomials, explaining the 'keep it, change it, flip it' method, and simplifying the resulting expression. The video emphasizes the importance of ensuring all exponents are positive and thoroughly simplifying the expressions.

What is the first step when multiplying polynomials with negative exponents?

• Add the exponents together

• Move negative exponents to the denominator

• Subtract the exponents

• Ignore the negative exponents

Tags

CCSS.HSA.APR.D.7

When cross-cancelling, what should you start with?

• The exponents

• The variables

• The largest numbers

• The smallest numbers

Tags

CCSS.8.EE.A.1

How do you handle variables with the same base during multiplication?

• Add their exponents

• Subtract their exponents

• Multiply their exponents

• Divide their exponents

Tags

CCSS.HSA.APR.A.1

What is left in the numerator after simplifying the given polynomial multiplication?

• A variable with a negative exponent

• A coefficient of 4

• A single variable

• A coefficient of 3

Tags

CCSS.HSA.APR.D.6

What is the additional step in dividing polynomials compared to multiplying them?

• Adding the fractions

• Flipping the second fraction

• Multiplying the fractions

• Subtracting the fractions

Tags

CCSS.6.NS.A.1

What does 'keep it, change it, flip it' refer to?

• A method for multiplying fractions

• A method for adding fractions

• A method for subtracting fractions

• A method for dividing fractions

Tags

CCSS.8.EE.A.1

How do you handle negative exponents in division?

• Add them to the positive exponents

• Ignore them

• Move them to the denominator

• Move them to the numerator

Tags

CCSS.HSA.APR.D.6

What happens to the coefficients when simplifying the division of polynomials?

• They remain unchanged

• They are reduced by common factors

• They are subtracted

• They are added together

Tags

CCSS.HSA.APR.D.6

What is the final result of the division example given in the video?

• A single variable

• A coefficient of 2

• A cubed

• B cubed

Tags

CCSS.HSA.APR.D.7

What should you do if you miss a reduction during the simplification process?

• Multiply the fractions again

• Go back and reduce it

• Ignore it

• Start over

Tags

CCSS.HSA.APR.D.7