Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1

Question

Mathematics

Nickolas

17 May, 06:37

Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1

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Answers (1)

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Emilia Mayo · Answer 1

(4x - 1) ^2 = 16x^ - 8x + 1. This is a perfect square trinomial.

Step-by-step explanation:

Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5) ^2 come out to 4a^2 - 10a + 25? No.

Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.

D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:

(4x - 1) ^2 = 16x^ - 8x + 1. This is a perfect square trinomial.