Exploring Operations with Polynomials

What should you do when multiplying two terms with the same base?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

How do you handle a negative exponent in the numerator?

• Subtract 1 from the exponent

• Move the base to the denominator

• Leave it as is

• Add 1 to the exponent

What happens when you raise a power to another power?

• You divide the exponents

• You multiply the exponents

• You add the exponents

• You subtract the exponents

If you have a fraction raised to a power, what should you do?

• Raise both the numerator and the denominator to the power

• Raise only the denominator to the power

• Raise only the numerator to the power

• Leave the fraction as is

When is a monomial considered simplified?

• When each base appears only once

• When there are no power of powers

• When there are no negative exponents

• All of the above

What is the result of multiplying (A^3 * A^2)?

• A^5

• A^6

• A^1

• A^0

How do you simplify (48a^3b^12c^-10 / 12a^6b^1c^8)?

• 4b^13 / (a^3c^18)

• 4a^3b^13 / c^18

• 4a^3c^18 / b^13

• 4b^13c^18 / a^3

Which of the following is NOT a polynomial?

• x^2 + 3x + 2

• 2x^-1 + 5

• 4x^3 - x + 7

• 3x^2 + 2x + 1

What is the degree of the polynomial (5p^2t^7 + 3p^5)?

• 9

• 7

• 5

• 2

Which of the following makes an expression NOT a polynomial?

• All of the above

• A variable raised to a negative exponent

• A variable in the denominator

• A variable inside a square root