Solve by factoring when a=1

The video tutorial explains how to solve quadratic equations by converting them from standard form to intercept form using the diamond method. It involves identifying factors of the constant term that add up to the linear coefficient, determining the values of P and Q, and writing the equation in factor form. Finally, the zero product property is applied to find the solutions of the quadratic equation.

What is the first step in converting a quadratic equation from standard form to intercept form using the diamond method?

• Directly solve for x

• Identify the roots of the equation

• Set up a diamond with values of C and B

• Set up a diamond with values of A and B

When using the diamond method, what is the goal when choosing factor pairs of C?

• To find pairs that add up to give C

• To find pairs that multiply to give C and add up to give B

• To find pairs that add up to give A

• To find pairs that multiply to give B

Which of the following factor pairs of -72 adds up to 14?

• (-4, 18)

• (-8, 9)

• (-36, 2)

• (-12, 6)

What is the factored form of the quadratic equation when P and Q are identified as -4 and 18?

• (x - 18)(x - 4)

• (x + 18)(x + 4)

• (x - 4)(x + 18)

• (x + 4)(x - 18)

After factoring the quadratic equation, what property is used to find the solutions?

• Distributive Property

• Commutative Property

• Associative Property

• Zero Product Property