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
Solution
The expression you provided seems to have a typo. I believe you meant "2x^2 + 7x - 4". Here's how to factor it:
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First, we need to find two numbers that multiply to (2*-4)=-8 and add to 7. Those numbers are 8 and -1.
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Rewrite the middle term of the equation as the sum of terms 8x and -1x: 2x^2 + 8x - 1x - 4.
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Factor by grouping: 2x(x + 4) - 1(x + 4).
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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).
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