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Identifying Perfect Square Trinomials

6.6.1 Identifying Perfect Square Trinomials

6.6.1 • Identifying Perfect Square Trinomials

Warm Up

Identify which of the polynomials is a perfect square trinomial.

Helpful hints for recognizing perfect square trinomials:

  • Are the first and last terms squares?
  • Does the middle term fit the pattern of 2 a b 2 a b ?
1.

25 v 2 + 20 v + 4 25 v 2 + 20 v + 4

Compare your answer:

yes

2.

49 s 2 + 154 s + 121 49 s 2 + 154 s + 121

Compare your answer:

yes

3.

25 r 2 + 65 r s + 36 s 2 25 r 2 + 65 r s + 36 s 2

Compare your answer:

no, 65 is not equal to 2 a b ( 2 × 5 × 6 ) 2 a b ( 2 × 5 × 6 )

4.

64 z 2 − 16 z + 1 64 z 2 − 16 z + 1

You can use the following video if you need some help.

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Compare your answer:

yes

5.

49 x 2 + 28 x y + 9 y 2 49 x 2 + 28 x y + 9 y 2

Compare your answer:

no, 28 is not equal to 2 a b ( 2 × 7 × 3 ) 2 a b ( 2 × 7 × 3 )