Question

factor the polynomial if is is a perfect square trinomial, or state the polynomial is prime
x^2+10xy+25y^2

Answer 1

This is definitely a perfect square. It's factored to \[(x+5y)^2\]. If there is addition between all the terms and the first and last terms are perfect squares then most likely the polynomial is factorable. Just remember that (a+b)^2 = a^2+2ab+b^2.

Answer 2

"The square of the first, twice the product, the square of the last"

Answer 3

x^2+10xy+25y^2
where x^2 is "The square of the first" term, which is x
and 10xy is "twice the product" or 2*x*5y
and 25y^2 is "the square of the last"