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# Factor the polynomial25t^2 + 90t + 81

Polynomials
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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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