Factor the polynomial if it is a perfect square trinomial,

Monique Slaughter

Monique Slaughter

Answered question

2021-12-18

Factor the polynomial if it is a perfect square trinomial, or state that the polynomial is prime.
x2+18xy+81y2

Answer & Explanation

Chanell Sanborn

Chanell Sanborn

Beginner2021-12-19Added 41 answers

Step 1 
The polynomial is given as , x2+18xy+81y2
factoring 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 prime factor cannot be obtained by multiplying the prime numbers together, hence the factors are not prime.
Hence the polynomial is not a prime.

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