Is the Trinomial a Perfect Square? Yes. Factored Expression: (x+10)^2
Practice makes perfect
To determine if an expression is a perfect square trinomial, we need to ask ourselves three questions.
Is the first term a perfect square?
x^2= x^2 âś“
Is the last term a perfect square?
100= 10^2 âś“
Is the middle term twice the product of 10 and x?
20x=2* 10* x âś“
As we can see, the answer to all three questions is yes! Therefore, we can write the trinomial as the square of a binomial. Note there is an addition sign in the middle.
x^2+20x+100 ⇔ ( x+ 10)^2
