Which of the following is a polynomial with roots 4, −5, and 7?
Asked by maham237 @ in Mathematics viewed by 316 People
1) f(x) = x3 − 6x2 − 27x + 140
2) f(x) = x3 − 6x2 − 20x + 27
3) f(x) = x3 − 20x2 − 27x + 35
4) f(x) = x3 − 20x2 − 35x + 140
Answered by maham237 @
If x = 4, then the factor is (x - 4); if x = -5, then the factor is (x + 5); if x = 7, then the factor is (x - 7). We need to FOIL all these together to get a third degree polynomial. (x - 4)(x + 5) = (x^2 + x - 20). Now multiply that by (x- 7): (x^2+x-20)(x-7) =
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