The results of the learning evaluate a pollinum using the remaining theorem Use Rational Zero Theorem to find rational zeros Use the factor theorem to
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Learning Results Evaluate a polynomial using the Remainder Theorem Use the Rational Zero Theorem to find zero rational Use factor theorem to solve a
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Suppose we wish to find the zeros of f(x) = x3 + 4x2 - 5x - 14 calculator, we get The Factor Theorem: Suppose p is a nonzero polynomial
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An important consequence of the Factor Theorem is that finding the zeros of a Divide: Use Synthetic division to evaluate the polynomial at each of the
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Use the Factor Theorem to find the real zeros of f(x) = 2x2 – 3x2 – 18x – 8 Test possible rational zeros to find a zero of the function Test x = 1: f(1) =
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24, calculate P(3) and P(2) Since the remainder is not zero, P(x) is not divisible by x a) Use the factor theorem to evaluate P(b) or P(b _
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c) Identify the x-intercepts d) Write the polynomial as a product of linear factor e) Sketch a complete graph – some can be done without the calculator
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part (b) by finding the local extrema values of R(x) on the calculator graph (a) Use the Factor Theorem to show that x ? 2 is a factor of
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LUCKILY you will use your calculator to graph the polynomial function Using the Then find the remaining zeros (factor, quadratic formula, or
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