Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 24x^{4}+36x^{3}y-60x^{2}y^{2}

Mylo O'Moore

Mylo O'Moore

Answered question

2021-02-19

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
24x4+36x3y60x2y2

Answer & Explanation

Khribechy

Khribechy

Skilled2021-02-21Added 100 answers

Step 1
Given that:
The polynomial is 24x4+36x3y60x2y2.
Step 2
To find factors of polynomial :
24x4+36x3y60x2y2=12×2x4+12×3x3y12×5x2y2
=12x2[2x2+3xy5y2]
=12x2[2x2+5xy2xy5y2]
=12x2[(2x2+5xy)(2xy+5y2)]
=12x2[x(2x+5y)y(2x+5y)]
=12x2[(xy)(2x+5y)]
=12x2(xy)(2x+5y)
24x4+36x3y60x2y2(xy)(2x+5y)
Step 3
Therefore,
Factors of the polynomial is 24x4+36x3y60x2y2=12x2(xy)(2x+5y).

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