Dividing Polynomials and Fractions

This video tutorial covers the process of dividing polynomials by monomials. It begins with a review of relevant pre-algebra concepts, such as splitting fractions with common denominators. The tutorial then provides a detailed explanation of how to divide each term of a polynomial by a monomial, using several example problems to illustrate the process. The video concludes with an advanced example involving fractions, demonstrating the application of reciprocal multiplication in division.

What is the first step in dividing a polynomial by a monomial?

• Subtract the monomial from the polynomial.

• Divide each term of the polynomial by the monomial.

• Add the polynomial to the monomial.

• Multiply the polynomial by the monomial.

How can you express a fraction with a common denominator?

• As a product of the numerators.

• As a single fraction with the sum of the numerators.

• As a difference of the numerators.

• As a quotient of the numerators.

What is the result of dividing 20 plus 4 by 2?

• 12

• 16

• 14

• 10

In the example 2k^3 + 18k^2 + 18k divided by 6k^2, what is the first term of the result?

• 3k

• 2k/3

• k^2/3

• k/3

What is the quotient of 8r^5 + 12r^4 + 8r^3 divided by 4r^3?

• 2r^2 + 3r + 2

• 2r^3 + 3r^2 + 2r

• 2r^2 + 3r^2 + 2

• 2r^3 + 3r + 2

How do you handle negative coefficients when dividing polynomials?

• Multiply the negative sign by the divisor.

• Divide as usual and adjust the sign at the end.

• Add the negative sign to the result.

• Ignore the negative sign.

What is the simplified form of 24a^5b divided by -6ab^2?

• -4a^4/b

• 4a^4/b

• 4a^5/b^2

• -4a^5/b^2