Polynomial Operations and Exponent Properties

Simplify the expression using properties of exponents!

• 
• 
• 
• 

Using synthetic substitution, find f(-2):

• 25

• -25

• 10

• -15

Simplify the operation above with exponent rules:

• (9x²y⁶)/(z⁴)

• (3x²y⁶)/(z⁴)

• (x²y⁶)/(9z⁴)

• (x²y⁶)/(3z⁴)

Is the following function a polynomial? If it is not, identify the reason why it does not meet the criteria.

• Yes, it is a polynomial!

• No, it is not a polynomial because it has 3 terms.

• No, it is not a polynomial because it has a decimal exponent.

• No, it is not a polynomial because the linear term is negative.

Write an expression in simplified form to represent the area of the rectangle.

Mathematical Equivalence

OFF

Write an expression in simplified form to represent the area of the rectangle.

Mathematical Equivalence

OFF

Is the following function a polynomial? If it is not, identify the reason why it does not meet the criteria.

• Yes, it is a polynomial!

• No, it is not a polynomial because it has three terms.

• No, it is not a polynomial because it is not written in standard form.

• No, it is not a polynomial because of the negative exponent.

Is the following polynomial written in standard form? If it is, say so! If not, rewrite it in standard form!

• Yes, it is in standard form!

• No, standard form would be: x¹¹+11x³+8x²+9x-5

• No, standard form would be: 11x³+8x²+9x-5+x¹¹

• No, standard form would be: -5+9x+8x²+11x³+x¹¹

Using synthetic substitution, find f(2):

• 90

• 2

• 92

• 102

Describe the end behavior of the function given here!

• As x → ∞, then y → ∞. As x → - ∞, then y → - ∞.

• As x → ∞, then y → ∞. As x → - ∞, then y → ∞.

• As x → ∞, then y → -∞. As x → - ∞, then y → -∞.

• As x → ∞, then y → -∞. As x → - ∞, then y → ∞.