Apply zero product property to solve a factored quadratic equation

The video tutorial explains the zero product property, emphasizing that it applies only when the product of two expressions equals zero. It demonstrates solving equations using inverse operations, such as subtracting and multiplying by reciprocals, to isolate variables. The tutorial verifies solutions by substituting values back into the original expressions, confirming that the product equals zero. The key solutions are identified as x = 6 and x = -1/2, which satisfy the zero product condition.

What is the key condition for applying the zero product property?

• The product must be a positive number.

• The product must be a negative number.

• The product must be equal to zero.

• The product must be equal to ten.

What is the first step in solving the equation -1/2 X + 3 = 0?

• Multiply by 2 on both sides.

• Subtract 3 from both sides.

• Divide by -1/2 on both sides.

• Add 3 to both sides.

How do you eliminate a fraction when solving an equation?

• Subtract the fraction from both sides.

• Divide by the fraction.

• Multiply by the reciprocal of the fraction.

• Add the fraction to both sides.

What is the solution for the equation 2X + 1 = 0?

• X = 1/2

• X = -1/2

• X = 1

• X = -1

Why do the solutions make the product equal to zero when substituted back into the expressions?

• Because they make both expressions equal to zero.

• Because they make one of the expressions equal to zero.

• Because they make the product equal to a positive number.

• Because they make the product equal to a negative number.