Determine which polynomial is a perfect square trinomial. 49x2 − 28x + 16 9a2 − 30a + 25 25b2 − 45b − 81 16x2 − 24x − 9

Question

Determine which polynomial is a perfect square trinomial. 49x2 − 28x + 16 9a2 − 30a + 25 25b2 − 45b − 81 16x2 − 24x − 9
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Solution 1

Para determinar cuál de los polinomios es un trinomio cuadrado perfecto, debemos verificar si se puede expresar en la forma ((ax + b)^2), que se expande a (a^2x^2 + 2abx + b^2).

  1. 49x² − 28x + 16:
    • (a^2 = 49x^2 \Rightarrow a = 7x)
    • (b^2 = 16 \Rightarrow b = 4)
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