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MathNet 2019-part-06 — 184 problems (EN–VI) Question 141

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 141

The figure shows the graph of a polynomial $p$ which crosses the $y$-axis at $-4$, touches the $x$-axis at $1$ and crosses the $x$-axis at $4$. What is the value of the expression $p'(1) - 2 \cdot p(0) - 4 \cdot p(4)$?

(A) 2
(B) 4
(C) 8
(D) 0
(E) -1

Question illustration