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If f(x) = x3 – 4x + p , and f(0) and f(1) are of opposite signs, then which of the following is necessarily true

If P(x) = ax4+ bx3+ cx2+ dx+ e has roots at x = 1, 2, 3, 4 and P(0) = 48, what is P(5) ?

A function f(x) is said to be even if f(−x) = f(x), and odd if f(−x) = −f(x). Thus, for example, the function given by…

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If f(x) = x3 – 4x + p , and f(0) and f(1) are of opposite signs, then which of the following is necessarily true