Check whether a quadratic expression is a perfect square trinomial and see the factored form when it is.
Last updated: March 2026 | By ForgeCalc Engineering
Analysis Steps
Discriminant: 0
A perfect square trinomial is a quadratic expression that factors into the square of a binomial. It is closely tied to the discriminant being zero.
Example: x^2 + 6x + 9 factors as (x + 3)^2.
Can the middle term be negative?
Yes. The binomial may be a subtraction, which gives a negative middle term.
Do the first and last terms have to be perfect squares?
Yes, for the trinomial to factor cleanly as a squared binomial.
Does this accept decimals?
Yes. Any finite real coefficients are accepted.
What does a zero discriminant mean?
It means the trinomial has a repeated root and can be written as a square.
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