Zero Product property video notes

What is the basic idea behind the zero product property?

• If you're multiplying two numbers and their product is zero, then either one or both of the numbers must be zero.

• If you're multiplying two numbers and their product is not zero, then neither of the numbers can be zero.

• If you're multiplying two numbers and their product is one, then one of the numbers must be one.

• If you're multiplying two numbers and their product is zero, then both numbers must be zero.

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What must be true for two numbers that multiply to zero?

• Both numbers must be negative.

• At least one of the numbers must be zero.

• Both numbers must be positive.

• The numbers must be equal.

How can the zero product property be useful?

• In finding the greatest common divisor

• In multiplying large numbers

• In solving quadratic equations

• In solving linear equations

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What is the first step in using the zero product property to solve quadratic equations?

• Graph the equation

• Set the equation equal to one

• Factor the trinomial

• Divide each term by the leading coefficient

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What do you do after factoring a quadratic equation to use the zero product property?

• Combine like terms

• Set each factor equal to zero

• Set each factor equal to one

• Add the factors together

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What is the solution for x in the equation 3x(x - 7) = 0?

• x = 3 and x = 7

• x = 0 and x = 7

• x = -3 and x = 7

• x = 0 and x = -7

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What is the solution for x in the equation (2x - 3)(3x - 5) = 0?

• x = 3/2 and x = 5/3

• x = -3 and x = -5

• x = -3/2 and x = -5/3

• x = 3 and x = 5

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How do you solve for x when given an equation in factored form using the zero product property?

• Subtract each factor from zero and solve for x

• Add the factors together and solve for x

• Set each factor equal to zero and solve for x

• Multiply each factor by zero

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What happens if you plug in a solution for x found using the zero product property into the original equation?

• The original equation's product will be zero

• The original equation becomes a linear equation

• The equation becomes undefined

• The original equation's product will be one

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Why is it possible to set each factor of a factored equation equal to zero when using the zero product property?

• Because one times anything is one

• Because one times anything is zero

• Because zero times anything is zero

• Because zero times anything is one

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