Factoring Special Case Polynomials Quiz

Which of the following is the formula for the difference of squares?

• a^2 - b^2 = (a + b)(a - b)

• a^2 + b^2 = (a + b)(a - b)

• a^2 - 2ab + b^2 = (a - b)^2

• a^2 + 2ab + b^2 = (a + b)^2

If a polynomial is in the form a^2 - b^2, what is the factored form?

• (a - b)(a + b)

• (a + b)(a - b)

• (a - b)^2

• (a + b)^2

What is the common factor extracted from the polynomial 98n^2 - 200?

• 4

• 2

• 5

• 10

How do you verify the middle term in a perfect square trinomial?

• By checking if it equals a^2 + b^2

• By checking if it equals (a + b)^2

• By checking if it equals 2ab

• By checking if it equals a^2 - b^2

Which formula is used for a polynomial in the form a^2 + 2ab + b^2?

• Cubic formula

• Quadratic formula

• Perfect square trinomial

• Difference of squares

What is the result of factoring 100x^2 + 180x + 81?

• (10x + 9)(10x - 9)

• (10x + 9)^2

• (10x - 9)^2

• (10x - 9)(10x + 9)

What is the factored form of 400 - 36b^2?

• 4(10 + 3b)^2

• 4(10 - 3b)^2

• 4(10 + 3b)(10 - 3b)

• 4(10 - 3b)(10 + 3b)

What is the common factor in the polynomial 10n^2 + 100n + 25?

• 5

• 25

• 10

• 1

What is the factored form of 49n^2 - 56n + 16?

• (7n - 4)^2

• (7n - 4)(7n + 4)

• (7n + 4)(7n - 4)

• (7n + 4)^2

What is the square root of 49n^2?

• 7n

• 49n

• n

• 14n