Solving Quadratic Equations by Factoring

What is the first step in solving quadratic equations by factoring?

• Check the solutions

• Find the factors of the quadratic expression

• Convert the equation to standard form

• Apply the zero product property

What values of x satisfy the equation x^2 - 6x + 8 = 0?

• x = 4, x = 2

• x = 2, x = -4

• x = 4, x = -2

• x = -4, x = -2

How do you verify if x = 4 is a solution to the equation x^2 - 6x + 8 = 0?

• None of the above

• Factor the equation again

• Substitute x = 4 into the equation and simplify

• Apply the zero product property

What are the solutions to the equation x^2 + 5x + 6 = 0?

• x = 3, x = -2

• x = -3, x = -2

• x = 3, x = 2

• x = -3, x = 2

Which method is used to solve the equation 2x^2 + 15x + 27 = 0?

• Graphing

• Factoring

• Quadratic formula

• Completing the square

What is the solution for x in the equation x^2 - 6x = 0 using factoring?

• x = 0, x = 6

• x = 0, x = 1

• x = 0, x = -6

• x = 6, x = -6

What does the difference of squares method help to factor?

• x^2 - 6x + 9

• x^2 + 6x + 9

• x^2 - 36

• x^2 + 36

What are the roots of the equation x^2 - 36 = 0?

• x = 36, x = -36

• x = 18, x = -18

• x = 6, x = -6

• x = 0, x = 36

How do you verify the solution x = -6 for the equation x^2 - 36 = 0?

• Apply the zero product property

• Substitute x = -6 and check if the equation equals zero

• None of the above

• Factor the equation again

What is the result of substituting x = 6 into the equation x^2 - 36?

• -36

• 36

• 72

• 0