SOLUTION: Find a quadratic equation whose root are 2and5

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Question 367898: Find a quadratic equation whose root are 2and5
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0.
root are 2 and 5, therefore: (x-2) and (x-5) are factors
y = (x-2)(x-5)
y = x^2 - 7x + 10

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