The possible number of positive and negative real zeros of a polynomial P ( x ) = − x 5 − x 4 + 10 x 3 + 10 x 2 − 9 x − 9 by the use of Descartes’ rule.

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Answer 1

Question

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

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Answer 2

Question

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

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Answer 3

Question

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

Expert Solution & Answer

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Answer 4

Question

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

Expert Solution & Answer

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Answer 5

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

Answer 6

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

Answer 7

Chapter 4.3, Problem 96E

(a)

To determine

The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

Answer 8

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

Answer 9

(b)

To determine

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

Answer 10

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 11

(c)

To determine

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 12

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 13

(d)

To determine

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 14

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 15

(e)

To determine

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 16

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 17

(f)

To determine

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 18

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 19

(g)

To determine

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

Answer 20

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

Answer 21

(h)

To determine

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

Answer 22

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

Answer 23

(i)

To determine

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

Answer 24

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

Answer 25

(j)

To determine

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

Answer 26

Expert Solution & Answer

Answer 27

Expert Solution & Answer

Answer 28

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Answer 29

The possible number of positive and negative real zeros of a polynomial P ( x ) = − x 5 − x 4 + 10 x 3 + 10 x 2 − 9 x − 9 by the use of Descartes’ rule.

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The possible number of positive and negative real zeros of a polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of Descartes’ rule.

The possible number of zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9 by the use of rational zeros theorem.

The rational zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

The all other real zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

The any other non-real complex zeros of the polynomial P(x)=−x5−x4+10x3+10x2−9x−9, if any.

The x-intercepts of the graph P(x)=−x5−x4+10x3+10x2−9x−9, if any.

The y-intercepts of the graph of P(x)=−x5−x4+10x3+10x2−9x−9, if any.

The value of P(4) by the use of synthetic division and also give the coordinates of the corresponding point on the graph.

To explain: The end behavior of the graph of P(x)=−x5−x4+10x3+10x2−9x−9.

To sketch: The graph of given polynomial P(x)=−x5−x4+10x3+10x2−9x−9.

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Chapter 4 Solutions