algebra · worked example

Solve 3x² + 7x + 2

Method: AC method. Verified step-by-step solution with our free AI math solver.
Problem

3x2+7x+23x^2 + 7x + 2

Step-by-step solution

  1. ac=3⋅2=6ac = 3 \cdot 2 = 6. Find two numbers multiplying to 66 and adding to 77: (1,6)(1, 6).

  2. Split middle term: 3x2+x+6x+23x^2 + x + 6x + 2.

  3. Factor by grouping: x(3x+1)+2(3x+1)=(3x+1)(x+2)x(3x + 1) + 2(3x + 1) = (3x + 1)(x + 2).

Answer

(3x+1)(x+2)(3x + 1)(x + 2)

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