Operations with Polynomials: Addition, Subtraction, and Multiplication

What operation is used when you see a plus or minus sign between polynomial groups?

• None of the above

• Addition or Subtraction

• Division

• Multiplication

What should you do first if there is nothing to distribute in a polynomial addition?

• Multiply the polynomials

• Subtract the terms

• Distribute the coefficients

• Combine like terms

How do you handle negative signs when subtracting polynomials?

• Ignore the signs

• Add the opposite

• Multiply by -1

• None of the above

When multiplying a monomial by a polynomial, what rule is applied to the exponents of like bases?

• Division rule

• Subtraction rule

• Product rule

• Exponent rule

What method can be used for multiplying a binomial by a binomial?

• FOIL method

• Box method

• None of the above

• Difference of squares

What is the result of multiplying (x + 2) by (x^2 - 3x - 4) using the box method?

• x^3 + 3x^2 + 4x + 8

• x^3 + x^2 - 10x - 8

• x^3 - x^2 - 6x - 8

• x^3 - x^2 - 10x - 8

What does the FOIL method stand for in polynomial multiplication?

• First, Outer, Inner, Last

• Final, Outer, Inner, Last

• First, Open, Inner, Link

• First, Outer, Inner, Loop

What pattern is used when multiplying a sum by a difference of binomials?

• 2ab

• a^2 * b^2

• a^2 - b^2

• a^2 + b^2

What is the result of squaring the binomial (x - 9)?

• x^2 + 9x + 81

• x^2 - 18x + 81

• x^2 - 81

• x^2 + 18x + 81

What is the correct expansion of (8x + 6)^2 using the box method?

• 64x^2 + 48x + 36

• 64x^2 + 72x + 36

• 64x^2 + 60x + 36

• 64x^2 + 96x + 36