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Instructions: Match the quadratic equation to the type of factoring that could be used to solve it. 9x2−16=09𝑥2−16=0 3x2−27x=03𝑥2−27𝑥=0 x2+6x+9=0𝑥2+6𝑥+9=0

Question

Instructions: Match the quadratic equation to the type of factoring that could be used to solve it.

  1. Equation: 9x^2−16=0

  2. Equation: 3x^2−27x=0

  3. Equation: x^2+6x+9=0

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Solution

  1. The quadratic equation 9x^2 - 16 = 0 can be factored using the difference of squares method. This is because the equation is in the form a^2 - b^2, where a = 3x and b = 4.

  2. The quadratic equation 3x^2 - 27x = 0 can be factored using the greatest common factor (GCF) method. This is because both terms in the equation have a common factor of 3x.

  3. The quadratic equation x^2 + 6x + 9 = 0 can be factored using the perfect square trinomial method. This is because the equation is in the form (x + a)^2, where a = 3.

This problem has been solved

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