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Determine which polynomial is a perfect square trinomial. 4x2 − 12x + 9 16x2 + 24x − 9 4a2 − 10a + 25 36b2 − 24b − 16

Ross Pratt

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Daniel King on January 19, 2019

Trinomial Ax^2 + Bx + C is a perfect square if: a > 0 And C > 0 B = ±2√A√C 36b^2 − 24b − 16 C < 0 4a^2 − 10a + 25 2√A√C = 2*2*5 = 20, B = -10 16x^2 + 24x − 9 is not a perfect square, C < 0 4x^2 − 12x + 9 is a perfect square: A>0, C>0, 2√To√C = 2*2*3 = 12 = -B = (2x − 3)^2hope this helps


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