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

Equation 1: 4 x 2 − 16 = 0 4x^2 - 16 = 0 4 x 2 − 16 = 0
Equation 2: 16 x 2 − 4 x = 0 16x^2 - 4x = 0 16 x 2 − 4 x = 0
Equation 3: x 2 + 8 x + 16 = 0 x^2 + 8x + 16 = 0 x 2 + 8 x + 16 = 0

Question

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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.
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.
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.

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