How to solve with factoring a quadratic equation when a=1

The video tutorial explains how to factor a quadratic equation using the diamond method. The instructor sets up the problem, demonstrates the diamond method to find factors, and solves the equation using the zero product property. A mistake is corrected in the final solution, ensuring the correct roots are identified.

What is the first step in solving the quadratic equation X^2 - 2X = 15?

• Set the equation to zero

• Complete the square

• Factor out the common term

• Use the quadratic formula

In the diamond method, what is the product of 'a' and 'c' for the equation X^2 - 2X - 15?

• 2

• -15

• -2

• 15

Which two numbers multiply to -15 and add to -2 in the diamond method?

• -3 and 5

• -5 and 3

• 5 and -3

• 3 and -5

What is the correct factorization of the quadratic equation X^2 - 2X - 15?

• (X - 5)(X + 3)

• (X + 5)(X - 3)

• (X + 3)(X - 5)

• (X - 3)(X + 5)

What are the roots of the equation X^2 - 2X - 15 = 0?

• X = -5 and X = 3

• X = 3 and X = -5

• X = -3 and X = 5

• X = 5 and X = -3