Question

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

Answer 1

The polynomial 4a² - 10a + 25 is a perfect square trinomial. This fits the pattern of ax² - 2abx + b², where 'a' is 2, 'b' is 5.

The question is asking to identify the polynomial that is a perfect square trinomial. A perfect square trinomial is a type of polynomial in the form of ax² + 2abx + b² or ax² - 2abx + b², where the first term and the last term are squares, and the middle term is twice the product of the square roots of the first and last terms.

Out of the options provided, the polynomial 4a² - 10a + 25 is a perfect square trinomial because it can be rewritten as (2a - 5)². This fits the pattern of ax² - 2abx + b², where 'a' is 2, 'b' is 5.

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