Question

To find the solution to the equation using factoring, we need to first write it in standard form. Which of the following choices is equivalent to the equation:
(x −3)(x + 5) = 10

Answer 1

The equivalent of (x -3) (x - 5) = 10 in standard form is:

x^2 + 2x - 25 = 0.

The standard form of quadratic equation is:

y = ax^2 + bx + c in which a ≠ 0.

To find the equivalent standard form of (x -3) (x - 5) = 10, you must multiply (x - 3) with (x + 5) using the FOIL method:

x ^2 + 5x - 3x - 15 = 10

Add like terms:

x ^2 + 2x - 15 = 10

Subtract 10 to both sides of the equation:

x ^2 + 2x - 15 - 10 = 10 - 10

The final answer is:

x^2 + 2x - 25 = 0 where a = 1, b = 2, and c = - 25.