Factor the polynomial if it is a perfect square trinomial,

Monique Slaughter 2021-12-18 Answered
Factor the polynomial if it is a perfect square trinomial, or state that the polynomial is prime.
x2+18xy+81y2
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Expert Answer

Chanell Sanborn
Answered 2021-12-19 Author has 41 answers
Step 1
The polynomial is given as , x2+18xy+81y2.
Factorization of the polynomial,
x2+18xy+81y2=x2+18xy+(9y)2
=(x+9y)2
=(x+9y)(x+9y)
Step 2
The factors of the polynomial x2+18xy+81y2 is (x+9y)2.
The factors are not the prime , as the prime numbers multiplied together does not give the prime factor.
Hence the polynomial is not a prime.
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