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Corequisite workbook: solving quadratic equations by factoring section 3.4

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Final answer:

Solving quadratic equations by factoring involves transforming the equation into a format which allows factorization, applying the Zero Product Property and solving for the unknowns.

Step-by-step explanation:

The process of solving quadratic equations by factoring involves turning a quadratic equation into a format such that you can use the factorisation technique. Once the quadratic equation is in factored form, you will use the Zero Product Property, which states that if a*b = 0, then either a = 0, b = 0 or both are 0.

  1. Firstly, express the quadratic equation in the form ax^2 + bx + c = 0.

  2. Next, factorise the left-hand side of the equation.

  3. Then apply the Zero Product Property and solve for x by setting each factor equal to zero.

For example, in the quadratic equation x^2 - 5x + 6 = 0, you can factorize the equation into (x - 2)(x - 3) = 0, therefore the solutions become x = 2 and x = 3.

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