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Factor completely.2, x, squared, plus, 7, x, minus, 42x 2 +7x−4

Question

Factor completely.2, x, squared, plus, 7, x, minus, 42x 2 +7x−4

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Solution

The expression you provided seems to have a typo. I believe you meant "2x^2 + 7x - 4". Here's how to factor it:

  1. First, we need to find two numbers that multiply to (2*-4)=-8 and add to 7. Those numbers are 8 and -1.

  2. Rewrite the middle term of the equation as the sum of terms 8x and -1x: 2x^2 + 8x - 1x - 4.

  3. Factor by grouping: 2x(x + 4) - 1(x + 4).

  4. Since (x + 4) is a common factor, we can write the expression as: (2x - 1)(x + 4).

So, the factored form of 2x^2 + 7x - 4 is (2x - 1)(x + 4).

This problem has been solved

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