Question

Factor the polynomial25t^2 + 90t + 81

Polynomials
ANSWERED
asked 2021-01-27

Factor the polynomial \(25t^2 + 90t + 81\)

Answers (1)

2021-01-28

\(25t^2 + 90t + 81\)

We have perfect squares: \(25t^2 = (5t)^2\) and \(81 = 9^2\)

To factor as a perfect square trinomial, take twice the product of the two terms in the binomial \(5t + 9 2(5t)(9) = 90t\).

Since 90t is the middle term of the trinomial, the trinomial is a perfect square. Therefore, \(25t^2 + 90t + 81 = (5t + 9)^2\)

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