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If the zero of the polynomial p(x) = 3x2 - px + 2 and g(x)= 4x2 - qx - 10 is 2, then find the value of p and q. |
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Answer» p(x) = 0 p(2) = 0 3x2 - px + 2 = 0 3 (2)2 - p x 2 + 2 = 0 3 x 4 - 2p + 2 = 0 12 - 2p + 2 = 0 14 - 2p = 0 -2p = -14 p = -14/-2 p = 7 p(x) = 0 p(2) = 0 4x2 -qx - 10 = 0 4 (2)2 - q x 2 - 10 = 0 4 x 4 - 2q - 10 = 0 16 - 2q - 10 = 0 6 - 2q = 0 -2q = -6 q = -6/-2 q = 3 |
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