(a) Given that the polynomial P(x)=x²-3x³-13x² +27x+36 has at least one rational zero, factorise P(x) completely.

College Algebra
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ISBN:9781305115545
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 P(x)=anxn+an1xn1+....+a1x+ao< has integer coefficients. then the only...
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(a) Given that the polynomial P(x)=x²-3x³-13x² +27x+36 has at least one rational
P(x) completely.
zero, factorise
(b) If P(x) = 2x³ - x² − 6x+3 has a rational zero, fully factorise P(x) over the real domain and hence, find
all of its zeroes.
Transcribed Image Text:(a) Given that the polynomial P(x)=x²-3x³-13x² +27x+36 has at least one rational P(x) completely. zero, factorise (b) If P(x) = 2x³ - x² − 6x+3 has a rational zero, fully factorise P(x) over the real domain and hence, find all of its zeroes.
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