3. x + 3x + 2x = 0 %3D a. Good guesses: b. # of positive roots: c. # of negative roots: d. # of imaginary roots: e. upper bound f. lower bound g. answers:

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.4: Real Zeros Of Polynomials
Problem 1E: If the polynomial function Px=anxn+an-1xn-1++a1x+a0 has integer coefficients, then the only numbers...
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Find the zeros of the following polynomials by using the following aids.
Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding
all real and imaginary roots to each equation.
htt(h-)のでtz(h-)6+c(h-)
X4,-3,-2 are
1. x + 9x? + 26x + 24 = 0
a. Good guesses:
the roots Of epho
b. # of positive roots:
c. # of negative roots:
d. # of imaginary roots:
K+4) x 3+ 9x2+26x+24 (x2+5xt0 "" -ve" -3
X 3
e. upper bound
f. lower bound
+4x2
there Is no bound
5x²+20x+24 (x+4)(x?+5x+e)=ouince lim fA) e
g. answers:
xQしtzXg
6.
6x+24
2. 2x3-7x2 – 16= 0
B The root of the equaionis
a. Good guesses:
Q-01-zメL-×t
There are no negatNe
b. # of positive roots:
c. # of negative roots:
d. # of imaginary roots:
s4009-の1-×hとメhてメナ。メて
D. the
Oこの1-メーローメhtzメ+をメt
bound
3(htメtz×2) (h-X)
the tanation is -
e. upper
f. lower bound
imaginary rootof
hりe
g. answers:
Lhこx
zvて(1E- こX
3. x + 3x³ + 2x = 0
a. Good guesses:
b. # of positive roots:
c. # of negative roots:
d. # of imaginary roots:
e. upper bound
f. lower bound
g. answers:
-ニzX
!4こX
Transcribed Image Text:Find the zeros of the following polynomials by using the following aids. Use the rational zero theorem, Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to each equation. htt(h-)のでtz(h-)6+c(h-) X4,-3,-2 are 1. x + 9x? + 26x + 24 = 0 a. Good guesses: the roots Of epho b. # of positive roots: c. # of negative roots: d. # of imaginary roots: K+4) x 3+ 9x2+26x+24 (x2+5xt0 "" -ve" -3 X 3 e. upper bound f. lower bound +4x2 there Is no bound 5x²+20x+24 (x+4)(x?+5x+e)=ouince lim fA) e g. answers: xQしtzXg 6. 6x+24 2. 2x3-7x2 – 16= 0 B The root of the equaionis a. Good guesses: Q-01-zメL-×t There are no negatNe b. # of positive roots: c. # of negative roots: d. # of imaginary roots: s4009-の1-×hとメhてメナ。メて D. the Oこの1-メーローメhtzメ+をメt bound 3(htメtz×2) (h-X) the tanation is - e. upper f. lower bound imaginary rootof hりe g. answers: Lhこx zvて(1E- こX 3. x + 3x³ + 2x = 0 a. Good guesses: b. # of positive roots: c. # of negative roots: d. # of imaginary roots: e. upper bound f. lower bound g. answers: -ニzX !4こX
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