Polynomial Operations and Properties of Exponents

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

• 4y⁴/x²
• 4x²y⁴
• 4x¹⁴y⁶
• 4x²/y⁴

Simplify each expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x

• 16x⁴  + x² + 14x

• 11x⁴  + x² + 14x

• 11x⁴  + 2x² + 10x

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

when you divide polynomials you do what with the exponents

• add

• subtract

• multiply

• divide

Determine if the statement is always, sometimes, or never true. If two different polynomials are subtracted, then the result will be a polynomial.

• Always

• Sometimes

• Never

(34x⁵y⁶z^-7)⁰

• 34x⁵y⁶ / z⁷

• 34x⁵y⁶ / x^-7

• 0

• 1

In a polynomial, the variables must have what type of exponents?

• whole number exponents

• integer exponents

• fraction exponents

• decimal exponents

In a polynomial, a constant term is:

• the number with a variable

• the power

• the number by itself

• the number with the variable with the highest exponent

Find the difference.

• -3p² + 4p³ -15 + 9

• 3p³ + 4p² - p + 3

• 4p³ +3p² +16p -10

• 4p³ +3p² + 16p + 10