Exploring Exponents and Polynomials in Algebra

What does the power of a product rule state?

• Add the exponents of terms with the same base

• Divide the exponents of terms with the same base

• Multiply the bases and add the exponents

• Subtract the exponents of terms with the same base

How do you apply the power of a power rule?

• Subtract the exponents

• Divide the exponents

• Add the exponents together

• Multiply the exponents together

What does the quotient of powers rule state?

• Divide the exponents

• Subtract the exponent of the denominator from the exponent of the numerator

• Add the exponents

• Multiply the exponents

What is the result of a term with a negative exponent?

• It remains unchanged

• It becomes a positive exponent

• It is eliminated from the equation

• It is moved to the denominator as a positive exponent

What is the result when applying the zero power property?

• Undefined

• 0

• 1

• The base

How do you handle subtraction when adding polynomials?

• Leave the subtraction as is

• Convert subtraction into addition

• Ignore the subtraction sign

• Multiply the terms

What is the first step in multiplying polynomials?

• Add the coefficients

• Subtract the polynomials

• Distribute each term of the first polynomial to each term of the second

• Combine like terms

How do you simplify a polynomial before multiplying?

• By adding the coefficients

• By identifying and combining like terms

• By subtracting each term

• By dividing each term

What does the square of a sum formula produce?

• a^2 + 2ab + b^2

• 2a^2 + 2b^2

• a^2 + b^2

• a^2 - 2ab + b^2

What is the result of dividing x^2 + 4x by x?

• 4x

• x^2 + 4

• x + 4

• x^2