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The trinomial $4x^2+12x+9$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=12^2-4\left(-4\right)\left(-9\right) = 0$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=-4x^2+12x+-9. The trinomial 4x^2+12x+9 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.