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Factoring a Perfect Square Trinomial

Factoring a Perfect Square Trinomial. Perfect Square Trinomial. If the coefficient to x 2 and the constant are perfect squares AND the coefficient to x is twice the product of those perfect squares, the quadratic easily factors: a 2 x 2 + 2abx + b 2 = ( ax + b ) 2 or

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Factoring a Perfect Square Trinomial

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  1. Factoring a Perfect Square Trinomial

  2. Perfect Square Trinomial If the coefficient to x2 and the constant are perfect squares AND the coefficient to x is twice the product of those perfect squares, the quadratic easily factors: a2x2 + 2abx + b2= ( ax + b )2 or a2x2 – 2abx + b2= ( ax – b )2 Completely factor the following: Ex 1: x2 + 24x + 144 Ex 2: 4x2 – 20x + 25 Ex 3: 16x2 + 56x + 49 = 12x2 + 2.12x +122 = ( x + 12 )2 = 22x2– 2.2.5x +52 = ( 2x – 5 )2 = 42x2+2.4.7x+72 = ( 4x + 7 )2

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