Factor completely.5, x, squared, minus, 4, x, minus, 95x 2 −4x−9
Question
Factor completely.5, x, squared, minus, 4, x, minus, 95x 2 −4x−9
Solution
The expression you provided seems to have a typo. I believe you meant "5x^2 - 4x - 9". Here's how to factor it:
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First, we need to find two numbers that multiply to (5*-9) = -45 and add to -4. Those numbers are -9 and 5.
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Rewrite the middle term of the quadratic equation, -4x, using these two numbers: 5x^2 - 9x + 5x - 9.
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Factor by grouping: 5x(x - 9/5) - 9(x - 9/5).
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The factored form of the equation is: (5x - 9)(x - 9/5).
So, the expression 5x^2 - 4x - 9 factors to (5x - 9)(x - 9/5).
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