This video tutorial covers solving quadratic equations using the factoring technique. It introduces the zero product property, which is essential for solving these equations. The tutorial provides a detailed example, demonstrating how to break down a quadratic equation into factors and solve for the variable. The process involves identifying factors that multiply to a specific value and using the zero product property to find solutions.

What is the primary technique discussed for solving quadratic equations in the video?

• Using the quadratic formula

• Graphing

• Completing the square

• Factoring

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What property is essential for solving quadratic equations by factoring?

• Commutative property

• Distributive property

• Associative property

• Zero product property

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What must be true for the zero product property to be applied?

• The equation must be linear

• The equation must have no real solutions

• The equation must equal zero

• The equation must equal one

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CCSS.HSA-REI.B.4B

What does the zero product property allow us to do with a factored quadratic equation?

• Divide each side by the leading coefficient

• Multiply the factors

• Set each factor equal to zero

• Combine like terms

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What values are considered when factoring the quadratic equation in the example?

• Factors of -18 that add up to -7

• Factors of 18 that subtract to 7

• Factors of -7 that add up to -18

• Factors of 7 that subtract to 18

How do you verify the correct factorization of a quadratic expression?

• By using the quadratic formula

• By graphing the equation

• By applying the zero product property

• By foiling the factors and comparing to the original equation

What is the first step in solving quadratic equations by factoring as discussed in the video?

• Factor the quadratic expression

• Set the equation to zero

• Identify the coefficients

• Isolate the x variable

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Which of the following is a correct factor pair used in the example for -18?

• All of the above

• 3 and 6

• 2 and 9

• 1 and 18

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What are the solutions to the quadratic equation after applying the zero product property?

• x = 9 and x = 2

• x = -9 and x = 2

• x = -9 and x = -2

• x = 9 and x = -2

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After factoring, what is the next step to find the solutions of the quadratic equation?

• Combine like terms

• Apply the quadratic formula

• Graph the equation

• Set each factor equal to zero and solve

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CCSS.HSA-REI.B.4B