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Instructions: Match the quadratic equation to the type of factoring that could be used to solve it. 4x2−16=04𝑥2−16=0 16x2−4x=016𝑥2−4𝑥=0 x2+8x+16=0𝑥2+8𝑥+16=0

Question

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

  • Equation 1: 4x216=0 4x^2 - 16 = 0
  • Equation 2: 16x24x=0 16x^2 - 4x = 0
  • Equation 3: x2+8x+16=0 x^2 + 8x + 16 = 0
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Solution

  1. The quadratic equation 4x^2 - 16 = 0 can be factored using the difference of squares method. This is because it can be rewritten as (2x)^2 - 4^2 = 0.

  2. The quadratic equation 16x^2 - 4x = 0 can be factored by taking out the common factor. In this case, the common factor is 4x, so the equation can be rewritten as 4x(4x - 1) = 0.

  3. The quadratic equation x^2 + 8x + 16 = 0 can be factored using perfect square trinomials. This is because it can be rewritten as (x + 4)^2 = 0.

This problem has been solved

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