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Sagot :
The product of prime polynomials is equivalent to 5x(2x – 3)(3x + 4).
Given
Polynomial; [tex]\rm 30x^3 - 5x^2 -60x[/tex]
Factors of the polynomial;
An equation involving a cubic polynomial is known as a cubic equation.
The highest degree of the polynomial is 3 then the polynomial has 3 factors.
To find the factors of the given polynomial follow all the steps given below.
Then,
The product of prime polynomials is equivalent to;
[tex]\rm 30x^3 - 5x^2 -60x=0\\\\5x(6x^2-x-12)=0\\\\x(6x^2-9x-8x-12)=0\\\\x(3x(2x-3)-4(2x-3))=0\\\\x((2x-3)(3x-4))=0\\\\x(2x-3)(3x+4)=0\\\\[/tex]
Hence, the product of prime polynomials is equivalent to 5x(2x – 3)(3x + 4).
To know more about factors of polynomial click the link is given below.
https://brainly.com/question/1499451
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