Factoring Techniques Quiz

What is the first step you should take when factoring any expression?

• Look for a difference of squares

• Factor by grouping

• Identify the greatest common factor

• Check if it's a perfect square trinomial

When factoring a trinomial, what should the two numbers do?

• Multiply to the leading coefficient and add to the constant term

• Multiply to the constant term and add to the middle term

• Multiply to the middle term and add to the constant term

• Multiply to the constant term and add to the leading coefficient

In the Mr. Hirs method, what is the first step?

• Add the leading coefficient to the constant term

• Subtract the leading coefficient from the constant term

• Multiply the leading coefficient by the constant term

• Divide the constant term by the leading coefficient

What is the result when you factor a difference of two squares?

• A single term

• Two binomials with opposite signs

• A binomial squared

• A trinomial

What condition must be met for a trinomial to be a perfect square trinomial?

• The first term must be twice the last term

• The middle term must be twice the product of the square roots of the first and last terms

• The first and last terms must be perfect squares

• The middle term must be the sum of the first and last terms

What happens to the middle term in a difference of two squares?

• It becomes zero

• It doubles

• It remains unchanged

• It becomes negative

In a perfect square trinomial, what is the relationship between the middle term and the square roots of the first and last terms?

• The middle term is twice the product of the square roots

• The middle term is the sum of the square roots

• The middle term is the difference of the square roots

• The middle term is half the product of the square roots

What is the result of factoring x^2 - 49?

• (x - 7)(x + 7)

• (x - 49)(x + 49)

• (x - 7)^2

• (x + 7)^2

What is the key concept behind factoring by grouping?

• Identifying perfect square trinomials

• Using the difference of squares

• Finding a common factor in all terms

• Grouping terms to find a common factor

When using grouping, what should you do if the second group has a negative sign?

• Add the negative sign to the first group

• Multiply the entire expression by -1

• Factor out a negative common factor

• Ignore the negative sign