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Chapter 4: Q. 48 (page 194)

In Problems 41– 48, form a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of a leading coefficient.
$Z e r o s : - 2, m u l t i p l i c i t y 2, 4, m u l t i p l i c i t y 1, d e g r e e 3$

Short Answer

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The polynomial function is $f (x) = x^{3} - 12 x - 16$ with degree 3.

Step by step solution

01

Step 1. Given Information

The zeros of the polynomial is $- 2$ and multiplicity $2, 4, 1$ and degree is 3.

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Most popular questions from this chapter

Can the graph of a polynomial function have no y-intercept? Can it have no x-intercepts? Explain.

Find the bounds to the zeros of each polynomial function. Use the bounds to obtain a complete graph of f.

$f (x) = 2 x^{3} - x^{2} - 11 x - 6$

In Problems 57– 62, find the real zeros of f. If necessary, round to two decimal places.

$f (x) = x^{4} + 1.2 x^{3} - 7.46 x^{2} - 4.692 x + 15.2881$

Solve the inequality $3 - 4 x > 5$ . Graph the solution set.

Find the real zeros of f. Use the real zeros to factor f.

$f (x) = 4 x^{4} - 15 x^{3} - 8 x^{2} + 15 x + 4$

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