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The number of polynomials p(x) with integer coefficients such that the

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VP
Joined: 19 Oct 2018
Posts: 1174
Location: India
The number of polynomials p(x) with integer coefficients such that the  [#permalink]

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28 Nov 2019, 08:35
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5% (01:13) correct 95% (01:00) wrong based on 21 sessions

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The number of polynomials p(x) with integer coefficients such that the curve y=p(x) passes through (6, 8) and (4, 9) is

A. 0
B. 1
C. 2
D. 3
E. infinite
VP
Joined: 19 Oct 2018
Posts: 1174
Location: India
Re: The number of polynomials p(x) with integer coefficients such that the  [#permalink]

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29 Nov 2019, 06:55
x and y both are even at (6,8). Now if we replace value of x with another even number, y must be even for that value of x too, as coefficient's are integer. But at x=4, we are getting odd value of y. No such polynomial is possible.

nick1816 wrote:
The number of polynomials p(x) with integer coefficients such that the curve y=p(x) passes through (6, 8) and (4, 9) is

A. 0
B. 1
C. 2
D. 3
E. infinite
Re: The number of polynomials p(x) with integer coefficients such that the   [#permalink] 29 Nov 2019, 06:55
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