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Factor the expression 5x^3 - x^2 + 5x - 1
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Factor the expression 5x^3 - x^2 + 5x - 1
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Nov 20, 2017
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Factor the expression 5x^3 - x^2 + 5x - 1
Mathematics
high-school
Morlock
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Group like terms
Find the common factor of each term and simplify
Additional :-
Find the roots of each of the terms:
(i)
- using the quadratic equation (
)
-
OR
- Since the discriminant is negative (
) [a negative number cannot be rooted] then this equation has no real roots (imaginary roots)
(ii)
- Simply Solve for x
5x - 1 = 0
5x = 1
x =
Thus the only solution this has or the only root this expression has is
OR 0.2
OneOfOne
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Nov 20, 2017
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OneOfOne
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Hello,
5x^3-x^3+5x-1=x²(5x-1)+(5x-1)=(5x-1)(x²+1)=(5x-1)(x-i)(x+i)
Dteoh
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Nov 24, 2017
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Dteoh
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