Question

Find the smallest positive integer and the largest negative integer that, by the Upper- and Lower-Bound Theorem, are upper and lower bounds for the real zeros of the polynomial function. P(x) = x^3 + 6x^2 - 3x - 5 Write the leading coefficient of the polynomial P(x) = x^3 + 6x^2 - 3x - 5. Recall the Upper- and Lower-Bound Theorem. Let P be a polynomial function with real coefficients, Use synthetic division to divide P by x - b, where b a nonzero real number. For the upper bound: If b > and the leading coefficient of P is positive, then b is an upper bound for the real zeros of P provided all of the numbers in the bottom row of the synthetic division are positive. If b > and the leading coefficient of P is negative, then b is an upper bound for the real zeros of P provided all of the numbers in the bottom row of the synthetic division are negative. For the lower bound: If b

Show transcribed image text Find the smallest positive integer and the largest negative integer that, by the Upper- and Lower-Bound Theorem, are upper and lower bounds for the real zeros of the polynomial function. P(x) = x^3 + 6x^2 - 3x - 5 Write the leading coefficient of the polynomial P(x) = x^3 + 6x^2 - 3x - 5. Recall the Upper- and Lower-Bound Theorem. Let P be a polynomial function with real coefficients, Use synthetic division to divide P by x - b, where b a nonzero real number. For the upper bound: If b > and the leading coefficient of P is positive, then b is an upper bound for the real zeros of P provided all of the numbers in the bottom row of the synthetic division are positive. If b > and the leading coefficient of P is negative, then b is an upper bound for the real zeros of P provided all of the numbers in the bottom row of the synthetic division are negative. For the lower bound: If b

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