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Lê Quốc Trần Anh Coordinator

24/05/2018 at 09:57
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If p(x) = ax\(^2\) + bx + c is a quadratic polynomial satisfying p(0) = 4, p(1) =15, p(2) = 36, what is the value of the product abc?



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    Dao Trong Luan Coordinator 24/05/2018 at 11:37

    p(0) = 4 => c = 4

    p(1) = 15 => a + b + c = 15 => a + b = 11 => b = 11 - a

    p(2) = 36 => 4a + 2b + c = 36 => 2(2a + b) = 31 => 2a + b = 31/2

    => 2a + 11 - a = 31/2 => a = 9/2 => b = 13/2

    => abc = 9/2 . 13/2 . 4 = 117

    Lê Quốc Trần Anh selected this answer.


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