Factoring and Solving quadratics as trinomials

The video tutorial explains how to solve quadratic equations using the zero product property. It begins by setting the equation to zero and identifying the greatest common factor (GCF). The box method is then used to factor the trinomial, and the factors of 36 are listed to find the middle terms. A mistake in the problem is identified and corrected, and the equation is solved using the zero product property.

What is the first step in solving a quadratic equation using the zero product property?

• Add a constant to both sides

• Multiply all terms by two

• Find the derivative

• Set the equation equal to zero

Which pair of numbers multiplies to 36 and adds up to -9?

• 6 and 6

• -12 and 3

• 12 and -3

• -6 and -6

What mistake was identified in the problem setup regarding the factors?

• The GCF was not considered

• The box method was not used

• The factors should multiply to -36

• The equation was not set to zero

What does the zero product property allow you to do with the equation X - 12 = 0 and X + 3 = 0?

• Multiply the equations

• Solve for X

• Find the derivative

• Add the equations

What are the solutions for X after applying the zero product property?

• X = 6 and X = -6

• X = -12 and X = 3

• X = 12 and X = -3

• X = 0 and X = 3