write a quadratic equation whose roots are -3 and 5
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write a quadratic equation whose roots are -3 and 5
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Answer:
x^2 - 2x - 15 = 0
Step-by-step explanation:
The roots are -3 and 5, therefore this means:
x = -3
x = 5
Then, revert back to factor form:
x + 3 = 0
x - 5 = 0
Then, multiply the factors.
(x + 3)(x - 5)
x^2 - 5x + 3x - 15 = 0
x^2 - 2x - 15 = 0