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  1. Check all polynomials that are perfect square trinomials:

9x2 − 6x + 1

36b2 − 24b + 8

16x2 + 24x + 9

4a2 − 10a + 25

  1. Factor completely: x2 − 8x + 16

(x + 4)(x + 4)

(x − 4)(x − 4)

(x + 4)(x − 4)

(x − 2)(x − 8)

  1. Factor completely: 16x2 + 40x + 25

(4x − 5)(4x − 5)

(2x − 5)(2x − 5)

(2x + 5)(2x + 5)

(4x + 5)(4x + 5)

  1. Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, what is the length of one side of the room?

(3x + 1) feet

(9x − 1) feet

(3x − 1) feet

(9x + 1) feet

  1. Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.)

4x2 + ___x + 49

Verified Answer :

  1. Check all polynomials that are perfect square trinomials:9x2 − 6x + 1
    16x2 + 24x + 9

    2. Factor completely: x2 − 8x + 16 

    (x − 4)(x − 4)

    3. Factor completely: 16x2 + 40x + 25 

    (4x + 5)(4x + 5)

    4. Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x^2 − 6x + 1 square feet, what is the length of one side of the room? 

    (3x − 1) feet

    5. Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.) 

    4x2 + ___x + 49

    Answer: 28