Factoring Trinomials Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Factor x2−7x+12x^2 - 7x + 12.

Solution

  1. 1
    Find two numbers: (−3)(−4)=12(-3)(-4) = 12 and (−3)+(−4)=−7(-3) + (-4) = -7.
  2. 2
    (x−3)(x−4)(x - 3)(x - 4).

Answer

(x−3)(x−4)(x - 3)(x - 4)
When c>0c > 0 and b<0b < 0, both numbers must be negative (negative times negative = positive, negative plus negative = negative).

About Factoring Trinomials

Factoring a trinomial of the form ax2+bx+cax^2 + bx + c into a product of two binomials by finding two numbers that multiply to acac and add to bb.

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More Factoring Trinomials Examples

Example 1 easy

Factor [formula].

Example 2 hard

Factor [formula] using the AC method.

Example 4 medium

Factor [formula].

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