Factor the polynomial if it is a perfect square trinomial, or state that the polynomial is prime.

$x}^{2}+18xy+81{y}^{2$

Monique Slaughter
2021-12-18
Answered

Factor the polynomial if it is a perfect square trinomial, or state that the polynomial is prime.

$x}^{2}+18xy+81{y}^{2$

You can still ask an expert for help

Chanell Sanborn

Answered 2021-12-19
Author has **41** answers

Step 1

The polynomial is given as ,$x}^{2}+18xy+81{y}^{2$ .

Factorization of the polynomial,

$x}^{2}+18xy+81{y}^{2}={x}^{2}+18xy+{\left(9y\right)}^{2$

$={(x+9y)}^{2}$

=(x+9y)(x+9y)

Step 2

The factors of the polynomial$x}^{2}+18xy+81{y}^{2$ 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.

The polynomial is given as ,

Factorization of the polynomial,

=(x+9y)(x+9y)

Step 2

The factors of the polynomial

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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