The Polynomial x^4 + 5x +a is denoted by p(x). It is Given that x² - x +3 is a factor of p(x). a) Find the Value of a and factorize completely. b) Hence state the number of real roots of the equation p(x) = 0 , Justifying your answer.
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Originally Posted by Shannon The Polynomial x^4 + 5x +a is denoted by p(x). It is Given that x² - x +3 is a factor of p(x). a) Find the Value of a and factorize completely. b) Hence state the number of real roots of the equation p(x) = 0 , Justifying your answer. Hi Shannon, Using polynomial long division, it can be determined that . Divide by to determine the value of a than makes the remainder equal to zero. The factors of are There are two real zeros at -2 and 1. There are two imaginary zeros when you solve
Last edited by masters; Feb 23rd 2010 at 03:56 AM.
Originally Posted by Shannon The Polynomial x^4 + 5x +a is denoted by p(x). It is Given that x² - x +3 is a factor of p(x). a) Find the Value of a and factorize completely. b) Hence state the number of real roots of the equation p(x) = 0 , Justifying your answer. Hi Shannon, There are 2 real roots, as the roots of are which are complex
Last edited by Archie Meade; Feb 22nd 2010 at 02:18 PM. Reason: small typo
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