Dividing Monomials

Dividing Monomials

SO . . . What do you do?

To divide a monomial by a monomial, divide the coefficients (or simplify them as you would a fraction) and divide the variables with like bases by subtracting their exponents. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. Be sure to watch the signs! Final answers should be written without any negative exponents.

 

Determing the quotient

• Once again there are two methods

• Models and Algebra - You pick

Multiple Choice

-10x²

2x

• -5x²

• -8x

• -5x

• -5

Using Models

• Make sure you have paper and pencil

• This isn't always fun

Using Algebra

• Less drawing

• You have to pay very close attention

Multiple Choice

40x⁴ ÷ 8x

• 5x³

• 5x⁴

• 5

• 320x⁵

Multiple Choice

25x⁵/5x³

• 5x

• -5x²

• 5x⁸

• 5x²

Multiple Choice

Simplify: 27a⁹ ÷ (-3a³ )

• -9a³

• -24a³

• -9a⁶

• 24a⁶

What about solving this one

Same process, just have to be more careful.

Using a Model

Using Algebra

Multiple Choice

Simplify 24j²k² ÷ 12k

• 2j²k

• -2j²k²

• 4jk

• 3j²k³

Multiple Choice

Simplify : 5d²e³f⁴ ÷ 5d²e²f²

• d⁴e⁵f⁶

• 5ef

• 25d⁴e⁵f⁶

• ef²

Multiple Choice

25x⁵/5x³

• 5x

• -5x²

• 5x⁸

• 5x²

Key points in relation to Dividing Monomials

• Divide each term in the polynomial by the monomial.

• Simplify and Write the final answer without any negative exponents.