Question

Find the polynomial function of lowest degree with only real coefficients and having the zeros $\sqrt{3}$, $-\sqrt{3}$, and 5. Choose the correct polynomial function of lowest degree with only real coefficients and having the zeros $\sqrt{3}$, $-\sqrt{3}$, and 5. A. f(x) = $x^4 - 9x^3 - 9x^2 + 7x + 6$ B. f(x) = $5x^3 + 9x^2 - 3x - 3$ C. f(x) = $x^3 - 5x^2 - 3x + 15$ D. f(x) = $x^3 - 3x^2 - 5x + 15$

          Find the polynomial function of lowest degree with only real coefficients and having the zeros $\sqrt{3}$, $-\sqrt{3}$, and 5.
Choose the correct polynomial function of lowest degree with only real coefficients and having the zeros $\sqrt{3}$, $-\sqrt{3}$, and 5.
A. f(x) = $x^4 - 9x^3 - 9x^2 + 7x + 6$
B. f(x) = $5x^3 + 9x^2 - 3x - 3$
C. f(x) = $x^3 - 5x^2 - 3x + 15$
D. f(x) = $x^3 - 3x^2 - 5x + 15$

Find the polynomial function of lowest degree with only real coefficients and having the zeros √(3), -√(3), and 5.
Choose the correct polynomial function of lowest degree with only real coefficients and having the zeros √(3), -√(3), and 5.
A. f(x) = x^4 - 9x^3 - 9x^2 + 7x + 6
B. f(x) = 5x^3 + 9x^2 - 3x - 3
C. f(x) = x^3 - 5x^2 - 3x + 15
D. f(x) = x^3 - 3x^2 - 5x + 15

Added by Lori C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Hemraj Kumawat

04/04/2022

Step 1

Step 1: The polynomial function with the given zeros can be written in factored form as: f(x) = a(x-3)(x+3)(x-5) Show more…

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Find the polynomial function of lowest degree with only real coefficients and having the zeros 3, -3, and 5. Choose the correct polynomial function of lowest degree with only real coefficients and having the zeros 3, -3, and 5. A. 1x=x-9x-9+7+6 B. 15x+9-3-3 C. 4x=x3-52-3+15 D. f=x-3-5x+15