Factoring the Sum and Difference of Two Cubes

What is the first step in factoring the sum or difference of two cubes?

• Multiply the binomial and trinomial

• Add the coefficients

• Subtract the exponents

• Identify the greatest common factor

When factoring the sum of two cubes, what sign is used in the binomial?

• Plus

• Minus

• Multiply

• Divide

In the trinomial part of the sum of two cubes, what is the sign of the middle term?

• Always positive

• Opposite of the binomial

• Always negative

• Same as the binomial

What is the last step in forming the trinomial when factoring the sum of two cubes?

• Add the two terms of the binomial

• Square the second term of the binomial

• Multiply the two terms of the binomial

• Square the first term of the binomial

In the example of factoring X^3 + 8, what is the binomial part?

• X^2 + 2X

• X - 2

• X + 2

• X^2 - 2X

What is the first step in factoring the difference of two cubes?

• Subtract the exponents

• Identify the greatest common factor

• Multiply the binomial and trinomial

• Add the coefficients

In the example of factoring 2a^3 - 54b^3, what is the greatest common factor?

• 6

• 9

• 3

• 2

What is the binomial part when factoring the difference of two cubes?

• a^2 - 3ab

• a^2 + 3ab

• a - 3b

• a + 3b

In the trinomial part of the difference of two cubes, what is the sign of the middle term?

• Same as the binomial

• Opposite of the binomial

• Always positive

• Always negative

What is the final step in ensuring complete factorization of a polynomial?

• Add all coefficients

• Multiply all terms together

• Check for further factoring possibilities

• Subtract all exponents