Factoring and Solving Quadratic Expressions

The video tutorial explains how to find the zeros of quadratic expressions. It covers two examples: the first uses the difference of squares method to factor x^2 - 25, resulting in zeros at x = 5 and x = -5. The second example involves recognizing a perfect square trinomial in 4d^2 - 36d + 81, which factors to (2D - 9)^2, yielding a single zero at D = 9/2.

What is the first step in finding the zeros of a quadratic expression?

• Factor the expression

• Set the expression equal to zero

• Use the quadratic formula

• Complete the square

What pattern is recognized in the expression x^2 - 25?

• Perfect square trinomial

• Sum of cubes

• Difference of squares

• Quadratic formula

How is the expression x^2 - 25 factored?

• (x - 5)(x + 5)

• (x + 5)(x - 5)

• (x - 5)(x - 5)

• (x + 5)(x + 5)

What are the zeros of the expression x^2 - 25?

• 0 and 5

• 5 and -5

• -5 and 0

• 5 and 5

What type of expression is 4d^2 - 36d + 81?

• Difference of squares

• Linear expression

• Perfect square trinomial

• Sum of cubes

What is the value of 'a' in the expression 4d^2 - 36d + 81?

• 4d

• 2d

• 36d

• 9

What is the value of 'b' in the expression 4d^2 - 36d + 81?

• 2d

• 4d

• 36d

• 9

What is the zero of the expression 4d^2 - 36d + 81?

• 0

• 9

• 18

• 9/2

How is the expression 4d^2 - 36d + 81 factored?

• (2d + 9)(2d + 9)

• (d - 9)(d - 9)

• (2d - 9)(2d - 9)

• (4d - 9)(4d - 9)