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Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
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Answer:

C and D

Step-by-step explanation:

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From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Determining perfect square trinomials

Recal that,

An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac

  • For x² -9

a = 1, b = 0, c = -9

0² ≠ 4(1)(-9)

0 ≠ -36

∴ x² - 9 is NOT a perfect square trinomial

  • For x² - 100

a = 1, b = 0, c = -100

0² ≠ 4(1)(-100)

0 ≠ -400

∴ x² - 100 is NOT a perfect square trinomial

  • For x² -4x +4

a = 1, b = -4, c = 4

(-4)² = 4(1)(4)

16 = 16

∴ x² - 4x +4 is a perfect square trinomial

  • For x² +10x +25

a = 1, b = 10, c = 25

(10)² = 4(1)(25)

100 = 100

∴ x² +10x +25 is a perfect square trinomial

  • For x² +15x +36

a = 1, b = 15, c = 36

(15)² ≠ 4(1)(36)

225 ≠ 144

∴ x² - 4x +4 is a NOT perfect square trinomial

Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855

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