Factoring and Solving Quadratic Equations

What is the first step in factoring a trinomial?

• Identify a common factor among the terms

• Use the quadratic formula

• Complete the square

• Graph the equation

When factoring out a common factor from the trinomial 2x^2 - 12x + 10, what is the common factor?

• 3

• 4

• 2

• 5

What technique is used to factor the trinomial further after factoring out the common factor?

• Complete the square

• Use the quadratic formula

• Graph the equation

• Cross-multiply, then check

Why is the negative factor chosen when using the cross-multiply technique?

• Because it simplifies the equation

• Because it is a standard rule

• Because the middle term is negative

• Because it is easier to calculate

What are the solutions for x in the equation after factoring?

• x = 0 and x = 1

• x = -5 and x = -1

• x = 5 and x = 1

• x = 2 and x = 3