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UKMT Senior Mathematical Challenge, 2018

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

How many of the following four equations has a graph that does not pass through the origin? $y=x^4+1$ , $y=x^4+x$ , $y=x^4+x^2$ , $y=x^4+x^3$

(A) $0$ (B) $1$ (C) $2$ (D) $3$ (E) $4$

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