Factor.x, squared, minus, 3, x, minus, 54x 2 −3x−54

The expression you provided is x^2 - 3x - 54. Here are the steps to factor it:

Step 1: Identify the coefficients of the quadratic equation. In this case, a = 1 (coefficient of x^2), b = -3 (coefficient of x), and c = -54.

Step 2: Find two numbers that multiply to ac (which is -54) and add to b (which is -3). The numbers that satisfy these conditions are -9 and 6 because -96 = -54 and -9 + 6 = -3.

Step 3: Rewrite the middle term of the quadratic equation (the term involving x) as the sum of the terms -9x and 6x. This gives us x^2 - 9x + 6x - 54.

Step 4: Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us (x^2 - 9x) + (6x - 54).

Step 5: Factor out the greatest common factor from each group. From the first group, we can factor out an x, and from the second group, we can factor out a 6. This gives us x(x - 9) + 6(x - 9).

Step 6: Notice that (x - 9) is a common factor of both terms. We can factor out (x - 9), which gives us (x - 9)(x + 6).

So, the factored form of the expression x^2 - 3x - 54 is (x - 9)(x + 6).

The expression you provided is x^2 - 3x - 54. Here are the steps to factor it:

1. Identify the coefficients of the quadratic equation. In this case, a = 1 (coefficient of x^2), b = -3 (coefficient of x), and c = -54 (constant term).

2. Look for two numbers that multiply to ac (-54) and add up to b (-3). The numbers that satisfy these conditions are -9 and 6 because -96 = -54 and -9 + 6 = -3.

3. Rewrite the middle term of the quadratic equation as the sum of the terms -9x and 6x. This gives us x^2 - 9x + 6x - 54.

4. Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us x(x - 9) + 6(x - 9).

5. Notice that (x - 9) is a common factor. Factor out this term to get (x - 9)(x + 6).

So, the factored form of the equation x^2 - 3x - 54 is (x - 9)(x + 6).