Solving Quadratic Equations with the Zero Product Property

Mr. Kosinski introduces the zero product property, a fundamental concept in algebra, which states that if the product of two factors is zero, then at least one of the factors must be zero. He demonstrates this property through six examples, solving quadratic equations by setting each factor to zero and solving for the variable. The video emphasizes the simplicity and utility of the zero product property in solving quadratic equations.

What does the zero product property state?

• If the product of two numbers is zero, one or both of the numbers must be zero.

• If the sum of two numbers is zero, one or both of the numbers must be zero.

• If the product of two numbers is one, one or both of the numbers must be one.

• If the sum of two numbers is one, one or both of the numbers must be one.

In the equation W + 7 times W - 8 equals zero, what are the possible values of W?

• -7 and -8

• 7 and 8

• -7 and 8

• 7 and -8

What is the first step to solve the equation W + 7 equals zero?

• Divide both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

In the equation P - 8 times P + 5 equals zero, what are the possible values of P?

• -8 and -5

• 8 and 5

• -8 and 5

• 8 and -5

Why is P equal to 8 in the equation P - 8 equals zero?

• Because 8 minus 8 is zero

• Because 8 plus 8 is zero

• Because 8 times 8 is zero

• Because 8 divided by 8 is zero

In the equation U - 8 times 5U + 7 equals zero, what are the possible values of U?

• 8 and -7/5

• -8 and 7/5

• 8 and 7/5

• -8 and -7/5

What is the first step to solve the equation 5U + 7 equals zero?

• Divide both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

In the equation 6R + 5 equals zero, what is the value of R?

• 6/5

• -5/6

• 5/6

• -6/5

What is the solution to the equation T + 1 equals zero?

• T equals 1

• T equals 2

• T equals -1

• T equals 0

What are the possible values of T in the equation 8T equals zero?

• T equals 8

• T equals -8

• T equals 0

• T equals 1