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The trinomial $\left(x^2-14x+49\right)$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-14^2-4\left(1\right)\left(49\right) = 0$
Learn how to solve polynomial long division problems step by step online. Simplify the expression (4x^2-7)/(x^2(x^2-14x+49)). The trinomial \left(x^2-14x+49\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.