Solve the polynomial. P ( x ) = 5 x 3 − x 2 − 5 x + 1

Question

Solve the polynomial.   P  (  x  )  =  5      x          3            ﻿    −      x          2        −  5  x  +  1

muilasqk · Accepted Answer

Given   P  (  x  )  =  5      x    3    −      x    2    −  5  x  +  1Here are the steps:Step 1:List all of the factors of the constant.The factors of 1 are   ±  1Step2: List all of the factors of the leading coefficient.The leading coefficient, in this case, is 5.The factors of 5 are   ±  1  ,  ±  5Step3: List all the POSSIBLE rational zeros or roots.Writing the possible factors as: the factors ofthe constant term/the factors of the leading coefficient.  ±      1    1    ,  ±      1    5  Remember that anything divided by itself =1.So, 1/1=1We can write the above as   ±  1  ,  ±      1    5  .

sponsorjewk · Accepted Answer

given the polynomial   P  (  x  )  =  5      x    3    −      x    2    −  5  x  +  1So by using the rational zero theorem p=the constant/leading coefficient so in this case the constant is 1 and the leading coefficient is 5 so we can factor those to out. so we can say that the the factor of 1 is   ±  1 because of youcan have two different answers and that the factor of 5 is   ±  1  ,  ±  5so you would end up getting -1,1, 1/5

Solve the polynomial. P(x)=5x^3-x^2-5x+1

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