Question

Select the polynomial that is a perfect square trinomial.

49x2 − 8x + 16
4a2 − 10a + 25
25b2 − 5b + 10
16x2 − 8x + 1

Answer 1

16x2 − 8x + 1

Explanation:

Took test.

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Answer 2

The answer is 16x2 − 8x + 1

To be a perfect square trinomial, the rule must be used:
(a - b)² = a² - 2ab + b²

Let's check all choices
A. a = 7x, b = 4
(7x - 4)² = 49x² - 56x + 16

B. a = 2a, b = 5
(2a - 5)² = 4a² - 20a + 25

C. a = 5b, b = √10
(5b - √10)² = 25b² - 10√10 b + 10

D. a = 4x, b = 1
(4x - 1)² = 16x² - 8x + 1
CORRECT