Find the factors of quadratic polynomial x2 - 9x + 20.
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(x + 4)(x + 5)
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(x + 4)(x - 5)
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(x - 4)(x + 5)
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(x - 4)(x - 5)
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(x + 2)(x + 10)
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Correct answer
Explanation
To factor x^2 - 9x + 20, find two numbers that multiply to 20 and add to -9. These numbers are -4 and -5, so the factors are (x - 4)(x - 5).
AI explanation
To find the factors of the quadratic polynomial x2 - 9x + 20, we must find two numbers that multiply to positive 20 and add to negative 9. These two numbers are negative 4 and negative 5, which allows us to split the middle term and factor by grouping. Writing the polynomial as x2 - 4x - 5x + 20 and factoring gives (x - 4)(x - 5). Therefore, the factors are (x - 4)(x - 5).