The required factors of the given quadratic polynomial is
[tex]5(3x-2)(2x+1)[/tex]
Quadratic Polynomial:
The general form of the quadratic polynomial is
[tex]ax^2+bx+c[/tex]
we can factorize the quadratic polynomial into linear factors
We have given quadratic polynomial is
[tex]30x^2-5x-10[/tex]
take 5 as common
[tex]5(6x^2-x-2)[/tex]
Factorize the quadratic into linear factors now
[tex]5(6x^2-4x+3x-2)[/tex]
[tex]5(2x(3x-2)+1(3x-2))[/tex]
[tex]5(3x-2)(2x+1)[/tex]
This is the conclusion to the answer.
Hence the correct answer is (E).
Learn more about quadratic polynomial here-
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