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

Answer:

Step-by-step 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:

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