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Factor completely.6, x, squared, minus, 13, x, minus, 86x 2 −13x−8

Question

Factor completely.6, x, squared, minus, 13, x, minus, 86x 2 −13x−8

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Solution

The expression you provided seems to be a bit unclear, but I'm assuming you're asking to factor the quadratic equation 6x^2 - 13x - 8.

Here are the steps to factor this equation:

  1. First, we need to find two numbers that multiply to (6*-8) = -48 and add up to -13. Those numbers are -16 and 3.

  2. Rewrite the middle term of the quadratic equation, -13x, using these two numbers: 6x^2 - 16x + 3x - 8.

  3. Factor by grouping: 2x(3x - 8) + 1(3x - 8).

  4. Since (3x - 8) is a common factor, we can write the final factored form as: (2x + 1)(3x - 8).

So, the factored form of the equation 6x^2 - 13x - 8 is (2x + 1)(3x - 8).

This problem has been solved

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