Factoring Quadratic Trinomials with the X-BOX Method

What does the Xbox method help to factor?

• Linear equations

• Quadratic equations

• Complex trinomials

• Simple binomials

What does the Xbox method simplify in terms of factoring?

• Trinomials with a leading coefficient of one

• Trinomials with any leading coefficient

• Binomials only

• Polynomials of degree higher than 3

What is the first step in the Xbox method?

• Multiply A and C

• Identify A, B, and C

• Factor out the greatest common factor

• Draw the Xbox

What does factoring out a negative do to the signs inside the parentheses?

• Changes all signs to positive

• Changes all signs to negative

• Inverts each sign

• Has no effect on the signs

What is the role of the greatest common factor in the Xbox method?

• It is multiplied with AC

• It is added to B

• It is factored out before applying the method

• It is used to find A and C

In the context of a trinomial ax^2 + bx + c, what does 'a' represent?

• The variable

• The coefficient of x

• The coefficient of x^2

• The constant term

What do you need to find that multiplies to AC and adds to B?

• Any two numbers

• Two prime numbers

• Two complex numbers

• Two specific numbers

Which of the following is true about the numbers that multiply to AC and add to B?

• They are always positive

• They can be any integers

• They are always even

• They must be prime numbers

What is placed in the first box of the Xbox?

• bx term

• ax^2 term

• The coefficient of x

• The constant term

How is the final answer of the Xbox method represented?

• As a single trinomial

• As two binomials

• As a complex number

• As a quadratic equation