Factor.x, squared, minus, 6, x, minus, 7x 2 −6x−7
Question
Factor.x, squared, minus, 6, x, minus, 7x 2 −6x−7
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Solution
The expression you provided seems to be a quadratic equation. However, there seems to be a typo in your equation. I believe it should be "x^2 - 6x - 7". Here's how to factor it:
- Write down the equation: x^2 - 6x - 7 = 0
- Identify the coefficients of the equation. In this case, a = 1 (coefficient of x^2), b = -6 (coefficient of x), and c = -7 (constant term).
- Look for two numbers that multiply to give ac (a times c, or 1*-7 = -7) and add up to give b (which is -6). The numbers that satisfy this are -7 and 1 because -7*1 = -7 and -7 + 1 = -6.
- Rewrite the middle term of the equation (the term involving x) as the sum of the terms -7x and x: x^2 - 7x + x - 7 = 0
- Factor by grouping: x(x - 7) + 1(x - 7) = 0
- Notice that (x - 7) is a common factor: (x - 7)(x + 1) = 0
So, the factored form of the equation x^2 - 6x - 7 = 0 is (x - 7)(x + 1) = 0.
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