A polynomial function is defined as f(x) = 3x^(3) + px^(2) + qx + r, where p, q, and r are integers. If f(3) = 0, which statements are true?
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First, let's substitute x = 3 into the polynomial function f(x) = 3x^(3) + px^(2) + qx + r: f(3) = 3(3)^(3) + p(3)^(2) + q(3) + r Simplifying this expression, we get: f(3) = 27 + 9p + 3q + r Since f(3) = 0, we can set this expression equal to zero: 0 = 27 + 9p Show more…
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