Factoring Perfect Square Trinomials

The video tutorial explains how to factor perfect square trinomials using specific formulas. It introduces the concept, outlines the formulas, and demonstrates the factoring process with an example problem. The tutorial emphasizes recognizing the structure of perfect square trinomials and applying the correct formula to factor them effectively.

What is the first step in factoring a perfect square trinomial?

• Multiply the first and last terms

• Determine if it fits a perfect square formula

• Identify the middle term

• Add all terms together

Which of the following is a perfect square trinomial formula?

• (a - b)^2 = a^2 + 2ab + b^2

• (a + b)^2 = a^2 + 2ab + b^2

• (a - b)^2 = a^2 - 2ab + b^2

• (a + b)^2 = a^2 - 2ab + b^2

Which term is squared in the formula (a - b)^2?

• Both a and b

• Only a

• Neither a nor b

• Only b

What operation is performed between the terms in the formula (a + b)^2?

• Division

• Multiplication

• Subtraction

• Addition

How do the signs in the perfect square trinomial formulas affect the result?

• They change the coefficients

• They determine the operation between terms

• They do not affect the result

• They only affect the first term

What is the significance of the signs in the formula (a - b)^2?

• They only affect the first term

• They do not affect the result

• They change the coefficients

• They determine the operation between terms

What is the first step in factoring the given trinomial?

• Square the first term

• Identify the middle term

• Check if the trinomial is a perfect square

• Square the last term

What is the squared value of the last term in the trinomial w^2 - 18w + 81?

• 9

• 18

• 81

• 27

What is the squared value of the first term in the trinomial w^2 - 18w + 81?

• 2w

• 9w

• w^2

• w

What is the significance of the middle term in a perfect square trinomial?

• It is always negative

• It is used to verify the trinomial fits the formula

• It is always positive

• It determines the sign of the trinomial