Mastering Quadratic Factoring

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Answer explanation

To solve the quadratic equation by factoring x^2 - 5x + 6 = 0, we need to find two numbers that multiply to 6 and add up to -5. These numbers are -2 and -3, so the solutions are x = 2, 3.

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CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Answer explanation

Choose 4 as the common factor and factor the quadratic expression to get 4(x - 2)(x + 1).

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Answer explanation

To factor the quadratic expression x^2 + 6x + 9, we recognize that it is a perfect square trinomial, which factors to (x + 3)^2.

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Answer explanation

To solve the quadratic equation by factoring, we can factor out a common factor of 3 from all terms to get (x + 3)^2 = 0. Solving for x gives x = -3.

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CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

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CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

Answer explanation

The common factor in the expression 8x^2 + 20x + 12 is 4, as it can be factored out from each term to simplify the expression.

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CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1