Exploring Difference of Squares and Square Root Property

The video tutorial covers the concept of difference of squares, explaining how to factor expressions like x^2 - 1, x^2 - 16, and 9x^2 - 49. It also discusses why some expressions are not factorable and introduces the square root property for solving equations, including handling imaginary numbers.

What is the term used for an equation with only two terms?

• Monomial

• Binomial

• Trinomial

• Polynomial

In the difference of squares, what must be true about the two terms?

• They must be even numbers

• They must be odd numbers

• They must be prime numbers

• They must be perfect squares

How would you factor x^2 - 16 using the difference of squares method?

• (x + 4)(x - 4)

• (x - 4)(x - 4)

• (x + 4)(x + 4)

• (x - 4)(x + 16)

What is the factored form of 9x^2 - 49?

• (9x + 49)(x - 49)

• (9x + 7)(x - 7)

• (3x + 7)(3x - 7)

• (3x + 49)(x - 49)

Why can't the difference of squares method be used to factor 25 + x^2?

• Because it has more than two terms

• Because it is an addition, not a subtraction

• Because x^2 is not a perfect square

• Because 25 is not a perfect square

What should you do if the X method does not work for factoring?

• Use synthetic division

• Use the quadratic formula

• Try completing the square

• Conclude that it is not factorable

When can the square root property be used?

• When the equation is linear

• When the C value is zero

• When the A value is zero

• When the B value is zero

What must be done to both sides of the equation when using the square root property?

• Subtract the same number

• Take the square root

• Multiply by the same number

• Add the same number

What is the solution to x^2 - 9 = 0 using the square root property?

• x = 0

• x = ±3

• x = -3

• x = 3

How do you handle the square root of a negative number?

• Ignore the negative sign

• Use the absolute value

• Introduce the imaginary unit 'i'

• Square the number