Dividing Polynomials

Is this division problem worked correctly?

• This is correct!
• This is incorrect!

Simplify. Assume no denominator is equal to 0.

 $\frac{x^3y^2}{xy^{-6}}$  

**Remember:  When dividing monomials, subtract exponents of like variables.**

•  $x^2y^8$  

•  $\frac{x^3}{y^3}$  

•  $\frac{x^3}{y^{12}}$  

For synthetic division, what would be the number in the left hand box?

• 0
• 1
• 2
• 3

Synthetic Division only uses the ____________ of a polynomial to divide.

• Terms

• Numbers (coefficients)

• Variables

• Numbers and letters

• 2x - 5

• x - 4

• x + 4

• 2x + 4

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x
• 2x⁸-2x²-7x
• 8x⁷-8x-28x
• 2x⁷ -2x -7

Simplify.

• y¹⁵
• y⁵
• y²
• 2y⁵

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES
• NO