Factoring Perfect Square Trinomials

The video tutorial focuses on factoring perfect square trinomials. It begins with an introduction to the concept and demonstrates how to factor expressions like x^2 + 6x + 9 and x^2 + 10x + 25 using the perfect square trinomial formula. The tutorial also covers more complex examples, such as 4x^2 + 12x + 9 and 9a^2 + 30ab + 25b^2, explaining how to handle trinomials with leading coefficients not equal to 1 and those involving multiple variables.

What two numbers multiply to 9 and add up to 6 in the expression x^2 + 6x + 9?

• 1 and 8

• 4 and 5

• 3 and 3

• 2 and 7

How can the expression x^2 + 6x + 9 be factored?

• (x + 2)(x + 4)

• (x + 5)(x + 1)

• (x + 3)(x + 3)

• (x + 1)(x + 9)

What is the general form of a perfect square trinomial?

• a^2 + 2ab + b^2

• a^2 + ab + b^2

• a^2 + 3ab + b^2

• a^2 + 4ab + b^2

In the expression x^2 + 10x + 25, what is the value of b?

• 2

• 3

• 4

• 5

How can the expression x^2 + 10x + 25 be factored?

• (x + 3)(x + 7)

• (x + 4)(x + 6)

• (x + 5)(x + 5)

• (x + 2)(x + 8)

What is the first step in factoring 4x^2 + 12x + 9?

• Divide 4 by 9

• Add 4 and 9

• Multiply 4 and 9

• Subtract 4 from 9

What two numbers multiply to 36 and add up to 12 in the expression 4x^2 + 12x + 9?

• 5 and 7

• 4 and 8

• 3 and 9

• 6 and 6

How can the expression 4x^2 + 12x + 9 be factored?

• (2x + 3)(2x + 3)

• (2x + 6)(2x + 0)

• (2x + 4)(2x + 2)

• (2x + 5)(2x + 1)

What is the square root of 9 in the expression 9a^2 + 30ab + 25b^2?

• 2

• 3

• 4

• 5

How can the expression 9a^2 + 30ab + 25b^2 be factored?

• (3a + 3b)(3a + 7b)

• (3a + 2b)(3a + 8b)

• (3a + 5b)(3a + 5b)

• (3a + 4b)(3a + 6b)