Factor the polynomial25t^2 + 90t + 81

e1s2kat26

e1s2kat26

Answered question

2021-01-27

Factor the polynomial 25t2+90t+81

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-01-28Added 107 answers

25t2+90t+81

We have perfect squares: 25t2=(5t)2 and 81=92

To factor as a perfect square trinomial, take twice the product of the two terms in the binomial 5t+92(5t)(9)=90t.

Since 90t is the middle term of the trinomial, the trinomial is a perfect square. Therefore, 25t2+90t+81=(5t+9)2

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