Question

Factor completely: x2 + 6x -8

Answer 1

To factor the quadratic equation x^2 + 6x - 8, we can find two numbers that multiply to give -8 and add up to 6. The factored form is (x - 1)(x + 8) = 0, so the solutions are x = 1 and x = -8.

Step-by-step explanation:

To factor the quadratic equation x^2 + 6x - 8, we need to find two numbers that multiply to give -8 and add up to 6. These numbers are 8 and -1, because (-8) * (-1) = 8 and (-8) + (-1) = -7. We can then rewrite the equation as:

x^2 + 8x - x - 8 = 0

Next, we group the terms and factor by grouping:

x(x + 8) - 1(x + 8) = 0

Now we can factor out (x + 8), giving us:

(x - 1)(x + 8) = 0

So the factored form of the equation is (x - 1)(x + 8) = 0. This means the solutions are x = 1 and x = -8.

Answer 2

This cannot be factored unless it's -6x or +8. It's just not possible.