Precalculus · Problem 3.2.45

Polynomial Functions — Stitz & Zeager

Mathematics — Precalculus · constructing-polynomials

Problem

Create a polynomial pp which has the desired characteristics. You may leave the polynomial in factored form. • pp is degree 4. • as x→∞x \to \infty, p(x)→−∞p(x) \to -\infty • pp has exactly three xx-intercepts: (−6,0)(-6, 0), (1,0)(1, 0) and (117,0)(117, 0) • The graph of y=p(x)y = p(x) crosses through the xx-axis at (1,0)(1, 0).

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