InterviewSolution
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InterviewSolution
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The number of polynomials p(x) with integer coefficients such that the curve y = p(x) passes through (2, 2) and (4, 5) is |
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Answer» Correct Answer - A `y=P(X)=a_(0)+a_(1)xxa_(2)X^(2)+……+a_(n)X^(n)" "a_(0),a_(1),a_(2),a_(3),…………a_(n)inl` `2=P(2)" …(1)"` `5=P(4)" …(2)"` By (1) and (2) `rArr3=a_(1)(4-2)+a_(2)(4^(2)-2^(2))+a_(3)(4^(3)-2^(3))+………….+a_(n)(4^(n)-2^(n))` Clearly RHS is even and LHS is odd no polynomial exists. |
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