Dividing Polynomials and Monomials

The video tutorial covers dividing polynomials and monomials, starting with a recap of previous topics like adding, subtracting, and multiplying polynomials. It introduces the quotient of powers rule, explaining how to divide monomials by subtracting exponents and dividing coefficients. The tutorial then extends these concepts to dividing polynomials by monomials, demonstrating the process with examples and emphasizing the importance of handling each term separately.

What mathematical operation is represented by the fraction bar?

• Addition

• Subtraction

• Multiplication

• Division

When dividing monomials, what do you do with the exponents of the same base?

• Add them

• Subtract them

• Multiply them

• Divide them

What is the result of ( X^5 ÷ X^3 )?

• X^1

• X^2

• X^8

• X^15

What is the result of ( 12y^8 ÷ 3y^5 )?

• 4y^5

• 36y^3

• 4y^13

• 4y^3

What is the result of ( -36a^6 ÷ 4a^2 )?

• -9a^4

• -40a^4

• -9a^8

• -32a^4

What is the result of ( 40x^4y^7 ÷ 5xy^2 )?

• 8x^3y^5

• 8x^4y^5

• 8x^5y^3

• 8x^3y^7

When dividing a polynomial by a monomial, what must you do with the terms in the numerator?

• Divide each term by the denominator

• Multiply them by the denominator

• Add them together

• Subtract them from the denominator

What is the result of ( 15x + 25y ÷ 5 )?

• 3x + 25y

• 3x + 5y

• 3x + 5

• 15x + 5y

What is the result of ( 4x^4 - 12x^3 + 8x^2 ÷ 2x )?

• 2x^3 - 12x^2 + 8x

• 2x^4 - 6x^3 + 4x^2

• 2x^3 - 6x^2 + 4x

• 4x^3 - 6x^2 + 4x

What is the result of ( 36a^3 - 24a^2 + 12a ÷ -12a )?

• 3a^2 - 2a + 1

• -3a^2 + 2a - 1

• -3a^2 - 2a - 1

• 3a^2 + 2a + 1