Descartes's Rule of Signs: Let P be a polynomial with real coefficients. The number of positive real zeros of P(x) either is equal to the number of variations in sig is less than that by an even whole number. The number of negative real zeros of P(x) either is equal to the number of variations in sig or is less than that by an even whole number. c. Using Descarte's Rule of Signs, how many possible positive real zeros in P(x) = 6x -7x' -12x +3x + 2? d. Using Descarte's Rule of Signs, how many possible negative real zeros in P(x) = 6x* – 7x² -12x +3x+2? e. Find ALL the real zeros of P(x)= 6x* – 7x' -12x +3x+2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.3: Dividing Polynomials
Problem 76E
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Descartes's Rule of Signs: Let P be a polynomial with real coefficients.
The number of positive real zeros of P(x) either is equal to the number of variations in sign in P(x) or
is less than that by an even whole number.
The number of negative real zeros of P(x) either is equal to the number of variations in sign in P(-x)
or is less than that by an even whole number.
c. Using Descarte's Rule of Signs, how many possible positive real zeros are there
in P(x) = 6x -7x' -12x +3x + 2?
d. Using Descarte's Rule of Signs, how many possible negative real zeros are there
in P(x) = 6x* – 7x -12x +3x+2?
e. Find ALL the real zeros of P(x)= 6x* - 7x-12x +3x+2
Transcribed Image Text:Descartes's Rule of Signs: Let P be a polynomial with real coefficients. The number of positive real zeros of P(x) either is equal to the number of variations in sign in P(x) or is less than that by an even whole number. The number of negative real zeros of P(x) either is equal to the number of variations in sign in P(-x) or is less than that by an even whole number. c. Using Descarte's Rule of Signs, how many possible positive real zeros are there in P(x) = 6x -7x' -12x +3x + 2? d. Using Descarte's Rule of Signs, how many possible negative real zeros are there in P(x) = 6x* – 7x -12x +3x+2? e. Find ALL the real zeros of P(x)= 6x* - 7x-12x +3x+2
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