Which of the following is a polynomial with roots 5, −6, and 7?

Asked by maham237 @ in Mathematics viewed by 294 People

Which of the following is a polynomial with roots 5, −6, and 7?
A.) f(x) = x3 − 6x2 − 30x + 37
B.) f(x) = x3 − 30x2 − 37x + 42
C.) f(x) = x3 − 6x2 − 37x + 210
D.) f(x) = x3 − 30x2 − 42x + 210

Answered by maham237 @


(x - 5)(x + 6)(x - 7) = 0
(x^2 + x - 30)(x - 7) = 0
x^3 + x^2 - 30x - 7x^2 - 7x + 210
x^3 - 6x^2 - 37x + 210
ANSWER- C

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