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

Instructions: Match the quadratic equation to the type of factoring that could be-example-1
User JohnnyAce
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1 Answer

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Recall the following types of factoring:

Difference of squares into a product of conjugate binomials:


a^2-b^2=(a+b)(a-b)

Quadratic equation without a constant term into the product by a common factor:


ax^2+bx=x(ax+b)

Perfect square trinomial into a binomial squared:


x^2+2ax+a^2=(x+a)^2

Notice that the first expression is a difference of the squares of 4x and 3. Then:


16x^2-9=(4x+3)(4x-3)

Then, the match for the first equation is Difference of squares.

The second expression has a common factor of 8x:


8x^2-16x=8x(x-2)

Then, the match for the second equation is GCF (greatest common factor).

The third expression is a perfect square trinomial:


x^2+8x+16=(x+4)^2

Then, the match for the third equation is Perfect Square Trinomial.

User Juraj Kocan
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