Factoring Perfect Square Trinomials

This lesson teaches how to factor perfect square trinomials using a shortcut formula. It explains the two forms of perfect square trinomials and provides a step-by-step guide to factor them. Two examples are given to illustrate the process, verifying the factored form by multiplying it out. The lesson concludes with a summary of the key points.

What is the form of a perfect square trinomial with a positive middle term?

• a^2 - ab + b^2

• a^2 + ab + b^2

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

Which method is emphasized in this lesson for factoring perfect square trinomials?

• Shortcut Formula

• Completing the Square

• Grouping

• Trial and Error

In the example 36x^2 + 60x + 25, what is the value of 'a'?

• 6x

• 5

• 25

• 36x

What is the factored form of 36x^2 + 60x + 25?

• (6x - 5)^2

• (5x + 6)^2

• (6x + 5)^2

• (5x - 6)^2

How many products are there when multiplying two binomials?

• 2

• 3

• 5

• 4

In the example 49x^2 - 28x + 4, what is the value of 'b'?

• 7x

• 2

• 28x

• 4

What is the factored form of 49x^2 - 28x + 4?

• (7x - 2)^2

• (2x - 7)^2

• (7x + 2)^2

• (2x + 7)^2

What is the result of multiplying 7x by -2 in the second example?

• 28x

• 14x

• -14x

• -28x

Which term indicates the use of the formula (a - b)^2?

• Zero middle term

• Negative middle term

• Positive middle term

• No middle term

What is the purpose of verifying the factored form by multiplying it out?

• To change the form

• To simplify the expression

• To check for errors

• To find new factors