Factoring Quadratics (a=4)

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to construct four different quadratic expressions that can be factored as two binomials with integer coefficients and terms.


Try starting with a random c (constant term). Use this to determine b (first-degree coefficient).


4x^2+4x+1 = (2x+1)(2x+1)
4x^2-6x+2 = (2x-1)(2x-2)
4x^2+8x-5 = (2x-1)(2x+5)
4x^2-3x-7 = (x+1)(4x-7)

Source: Giles Fox

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