Is the Trinomial a Perfect Square? Yes. Factored Expression: (2x+7)^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?
4x^2= 2^2x^2=( 2x)^2 âś“
Is the last term a perfect square?
49= 7^2 âś“
Is the middle term twice the product of 7 and 2x?
28x=2* 7* 2x 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.
4x^2+28x+49 ⇔ ( 2x+ 7)^2
