Factoring and Perfect Square Trinomials

The video tutorial by Teacher Going covers the topic of factoring perfect square trinomials. It begins with an introduction to the concept, explaining that these trinomials can be expressed as the square of a binomial. The video provides detailed examples, including factoring x^2 + 6x + 9, 4x^2 + 12x + 9, and 9x^2 - 12x + 4, demonstrating both manual and shortcut methods. The tutorial concludes with practice problems for viewers to solve.

What is a perfect square trinomial?

• A trinomial with all positive terms

• A trinomial with no constant term

• A trinomial that can be expressed as the square of a binomial

• A trinomial with all negative terms

How many terms does a perfect square trinomial have?

• Three

• Four

• Two

• One

What is the result of squaring the binomial (a + b)?

• a^2 + 2ab + b^2

• a^2 - 2ab + b^2

• a^2 - b^2

• a^2 + b^2

In the expression (a - b)^2, what is the middle term?

• -ab

• ab

• 2ab

• -2ab

What is the first step in manually factoring x^2 + 6x + 9?

• Find two numbers that multiply to 9 and add to 6

• Subtract 9 from both sides

• Divide the trinomial by x

• Find the square root of the first term

What are the factors of x^2 + 6x + 9?

• (x - 9)(x - 1)

• (x + 9)(x + 1)

• (x - 3)(x - 3)

• (x + 3)(x + 3)

What is the shortcut method for factoring perfect square trinomials?

• Add the first and last terms

• Multiply the first and last terms

• Find the square root of the first and last terms and copy the middle sign

• Subtract the first term from the last term

What is the square root of 4x^2?

• x

• 8x

• 4x

• 2x

What is the factored form of 4x^2 + 12x + 9?

• (4x + 9)^2

• (2x - 3)^2

• (x + 3)^2

• (2x + 3)^2

What is the square root of 9x^2?

• 6x

• x

• 9x

• 3x