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Equations – Factorization of a polynomial equation – Exercise 5625

Exercise

Factor the polynomial equation

10x^4-15x^3-4x^2+6x=0

Final Answer


x(2x-3)(5x^2-2)

Solution

10x^4-15x^3-4x^2+6x=

We extract a common factor

=x(10x^3-15x^2-4x+6)=

Again we extract common factors in the parentheses

=x(5x^2(2x-3)-2(2x-3))=

Once again we extract a common factor – this time the expression in parentheses:

=x(2x-3)(5x^2-2)

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