Question

Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.

Answer 1

Explanation:

A polynomial is a perfect square if has the form:

`a^2+2ab+b^2`

Its factored form is
`(a+b)^2`.

We can obtain examples by taking any value of a and b.

For example:

`a=x` anb
`b=2y`.

Thus we obtain a polynomial that is a perfect square:

`x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2`