Factoring Completely Difference of Two Squares Perfect Square Trinomial Gcf

Mathematical Equivalence

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What is the factored form of:

• 2

• 3

• 4

• 1

• 6

• 5

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor
x² - 9x + 18.

• (x - 3)(x - 6)

• (x + 6)(x - 3)

• (x - 9)(x - 2)

• (x - 6)(x + 3)

Which of the following expressions are examples of DOTS (Difference of Two perfect Squares)?

Which of the following answers show the correct factorization of x² - 25? Hint: more than 1 answer is correct!

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• ( x - 5 )( x + 5 )

Which of the following trinomials is a perfect square trinomial?

• r² - 6r + 36

• 4y² + 10y + 25

• x² + 16x + 16

• 9a² - 12a + 4

Factor:
x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)²

Factor, if possible: 4x²+36x+81

• (4x+81)²

• (2x+9)²

• Prime /
  Not factorable. 

• (2x-9)²

Complete the factoring.

5x² - 40x will factor to 5x( __ )

• x - 8

• 8 - x

• x² - 8

• 8 - x²