Question

Factor completely 3x4y3 − 15x2y2 6xy. 3xy(x3y2 − 5xy 2) 3x(x3y3 − 5xy2 2y) 3(x4y3 − 5x2y2 2xy) Prime.

Answer 1

The factor of the provided polynomial with the after the factorization process are similar to option A, which is

$3xy(x^3y^2 - 5xy+ 2)$

What is factor of polynomial?

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

$3x^4y^3 - 15x^2y^2+ 6xy$

The above equation has the unknown variable x and y and the highest power of this unknown variable is 3.

Take out the highest common factor 3, which can divide each term of the above equation (3, 15, 6). Thus,

$3(x^4y^3 - 5x^2y^2+ 2xy)$

Take out the highest common factor in terms of variable, which can divide each term of the above equation. Thus,

$3xy(x^3y^2 - 5xy+ 2)$

Thus, the factor of the provided polynomial with the after the factorization process are similar to option A, which is

$3xy(x^3y^2 - 5xy+ 2)$

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