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The trinomial $\frac{1}{4}x^2+x+1$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=1^2-4\left(0.25\right)\left(1\right) = 0$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression 1/4x^2+x+1. The trinomial \frac{1}{4}x^2+x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.