With this case, the leading coefficient is “1” and the trailing constant is “2”.
Then the factors will be :
of the leading coefficient : “1”
of the trailing constant : “1” ,”2”
Let us test ....
With the help of we find no rational roots.
(((((x^5)(3•(x^4)))+(3•(x^3)))(4•(x^2)))+10x) + 13*(x^2+2)/(x2)^2
Now simplify x^53x^4+3x^34x^2+10x + 13*(x^2+2)/(x2)^2
Now adding a fraction to a whole we rewrite the whole as a fraction using (x2)^2 as
the denominator :
x^5 3x^4+3x^34x^2+10x = x^53x^4+3x^34x^2+10x / 1 = (x^53x^4+3x^34x^2+10x)*(x2)^2 /
(x2)^2
The equivalent fraction: Fraction thus generated looks different but has same value as
a whole. The common denominator: Equivalent fraction and the other, involved in the
calculation share the denominator as same.
Now we pull out like factors then:
x^53x^4+3x^34x^2+10x = x*(x^43x^3+3x^24x+10)
Now we Find the roots (zeroes) of
F(x)= x^43x^3+3x^24x+10
With this case, leading coefficient is “1” and trailing constant is “10”.
The factor will be :
Of the leading coefficient : “1”
Of the trailing constant : “1” , “2” , “5” , “10”
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