You are about to factor a quadratic equation involving some x_'s, some x'x and a plain number. You see that the sign in front of the x's is negative, and the sign in front of the plain number is positive. This tells you that when you find the two brackets of factors _______

a. they will both contain a minus sign
b. they will both contain a plus sign
c. one will contain a minus sign and
the other will contain a plus sign
d. one will contain 0

I believe the answer is a

correct.

To factor a quadratic equation with a negative sign in front of the x's and a positive sign in front of the plain number, we can follow these steps:

Step 1: Write down the quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 2: Identify the values of a, b, and c in the quadratic equation.

Step 3: Use the quadratic formula or other factoring techniques to find the factors of the quadratic equation.

In this case, since the sign in front of the x's is negative and the sign in front of the plain number is positive, we can determine the signs of the factors as follows:

If both brackets contain a minus sign, the factored form would be (x - p)(x - q), where p and q are the numbers that make the equation true. In this case, the answer would be a.

If both brackets contain a plus sign, the factored form would be (x + p)(x + q), where p and q are the numbers that make the equation true.

If one bracket contains a minus sign and the other contains a plus sign, the factored form would be (x - p)(x + q) or (x + p)(x - q), where p and q are the numbers that make the equation true.

If one bracket contains 0, it means one factor is x, and the equation can be factored accordingly.

Therefore, based on the given information, the correct answer is c. One bracket will contain a minus sign, and the other bracket will contain a plus sign.