Answer:
After factorizing the given polynomial we get 6x^2 (x+6)(x-2)
Step-by-step explanation:
Given Polynomial:
6x^4+24x^3−72x^2
We need to completely factorize the polynomial.
Consider,
6x^4+24x^3−72x^2
GCF = 6x^2, By taking it common out
= 6x^2 (x^2+4x-12)
= 6x^2 (x^2+6x-2x-12)
= 6x^2 (x(x+6)-2(x+6))
= 6x^2 (x+6)(x-2)
Therefore, After factorizing the given polynomial we get 6x² ( x + 6 ) ( x - 2 )
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