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Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x? 5(2x2 – 3)(3x 4) x(10x 3)(3x – 4) 5x(2x – 3)(3x 4) 5x(2x 3)(3x – 4).

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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