Quadratic Equations by Factoring Quiz

What is the first step in solving a quadratic equation by factoring?

• Add a constant to both sides

• Multiply all terms by a constant

• Find the square root of the equation

• Equate the equation to zero

In the equation 3x^2 - 9x = 0, what is the common monomial factor?

• x

• 3x

• 3

• 9x

What is the solution to the equation 5x^2 - 20x = 0 after factoring?

• x = 0 and x = 4

• x = 5 and x = 4

• x = 0 and x = -4

• x = 5 and x = -4

Which pattern is used to factor x^2 - 16 = 0?

• Perfect square trinomial

• Quadratic formula

• Difference of squares

• Sum of cubes

What are the solutions for the equation x^2 - 64 = 0?

• x = 8 and x = -8

• x = -8 and x = -8

• x = 0 and x = 8

• x = 8 and x = 8

When factoring x^2 - 7x + 12, what are the correct factors?

• (x + 6)(x + 2)

• (x - 6)(x - 2)

• (x + 4)(x + 3)

• (x - 4)(x - 3)

What is the sum of the factors of 15 that add up to -8?

• 15 and 1

• -15 and -1

• 5 and 3

• -5 and -3

In the equation x^2 - 7x + 12 = 0, what are the solutions after factoring?

• x = 7 and x = 12

• x = -4 and x = -3

• x = 4 and x = 3

• x = 0 and x = 12

What is the first step in solving a trinomial quadratic equation by factoring?

• Find the square root of the equation

• Multiply all terms by a constant

• Create two parentheses

• Add a constant to both sides

What should you do after factoring a quadratic equation to find the solutions?

• Add the factors

• Subtract the factors

• Multiply the factors

• Equate each factor to zero