Factoring Quadratics (a=3)

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.

Hint

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

Answer

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

Source: Giles Fox

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