Solving Quadratics by Factoring

What is the first step in factoring a quadratic equation?

• Divide the equation by the coefficient of the quadratic term.

• Set the equation equal to zero.

• Identify the values of a, b, and c in the quadratic equation.

• Find the discriminant of the quadratic equation.

Which of the following is a factor of the quadratic equation x^2 - 9x + 20 = 0?

• (x - 4)

• (x + 4)

• (x - 5)

• (x + 5)

What is the factored form of the quadratic equation x^2 + 7x + 12 = 0?

• (x + 3)(x + 4)

• (x - 3)(x - 4)

• (x + 2)(x + 6)

• (x - 2)(x - 6)

Which of the following is a factor of the quadratic equation 2x^2 - 5x - 3 = 0?

• (2x + 3)

• (2x - 3)

• (x + 3)

• (x - 3)

What is the factored form of the quadratic equation 3x^2 + 10x + 8 = 0?

• (3x + 2)(x + 4)

• (3x - 2)(x - 4)

• (3x + 4)(x + 2)

• (3x - 4)(x - 2)

Which of the following is a factor of the quadratic equation x^2 - 6x + 8 = 0?

• (x - 2)

• (x + 2)

• (x - 4)

• (x + 4)

What is the factored form of the quadratic equation 2x^2 + 5x - 3 = 0?

• (2x + 3)(x - 1)

• (2x - 3)(x + 1)

• (2x + 1)(x - 3)

• (2x - 1)(x + 3)

Which of the following is a factor of the quadratic equation 4x^2 - 12x + 9 = 0?

• (2x - 3)

• (2x + 3)

• (2x - 9)

• (2x + 9)

What is the factored form of the quadratic equation x^2 - 5x + 6 = 0?

• (x - 2)(x - 3)

• (x + 2)(x + 3)

• (x - 2)(x + 3)

• (x + 2)(x - 3)

Which of the following is a factor of the quadratic equation 3x^2 + 7x - 6 = 0?

• (3x - 2)

• (3x + 2)

• (x - 2)

• (x + 2)