Question

Factor the following expression: -X^2 + 15x - 50 -x^2 + 15 - 50 = 0.

Options:
Option 1: -2(x - 5)^2
Option 2: (x - 5)(x + 5)
Option 3: (x - 10)(x - 5)
Option 4: (x + 5)(x - 5)

Answer 1

To factor the expression -X^2 + 15x - 50 -x^2 + 15 - 50 = 0, we simplify the equation to -2x^2 + 15x - 100 = 0 and factor it to (-2x + 20)(x - 5) = 0.

Step-by-step explanation:

To factor the expression -X^2 + 15x - 50 -x^2 + 15 - 50 = 0, we first combine like terms to simplify the equation: -2x^2 + 15x - 100 = 0.

Next, we factor the equation by finding two numbers that multiply to give -2*(-100) = 200 and add up to 15. The numbers are 20 and -10, so the factored form is (-2x + 20)(x - 5) = 0.

Therefore, the correct option is (x - 5)(-2x + 20).