Factor -80z^5+40z^4+15z^3

Math
-80z5+40z4+15z3
Factor -5z3 out of -80z5+40z4+15z3.
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Factor -5z3 out of -80z5.
-5z3(16z2)+40z4+15z3
Factor -5z3 out of 40z4.
-5z3(16z2)-5z3(-8z)+15z3
Factor -5z3 out of 15z3.
-5z3(16z2)-5z3(-8z)-5z3(-3)
Factor -5z3 out of -5z3(16z2)-5z3(-8z).
-5z3(16z2-8z)-5z3(-3)
Factor -5z3 out of -5z3(16z2-8z)-5z3(-3).
-5z3(16z2-8z-3)
-5z3(16z2-8z-3)
Factor.
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Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=16⋅-3=-48 and whose sum is b=-8.
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Factor -8 out of -8z.
-5z3(16z2-8(z)-3)
Rewrite -8 as 4 plus -12
-5z3(16z2+(4-12)z-3)
Apply the distributive property.
-5z3(16z2+4z-12z-3)
-5z3(16z2+4z-12z-3)
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
-5z3((16z2+4z)-12z-3)
Factor out the greatest common factor (GCF) from each group.
-5z3(4z(4z+1)-3(4z+1))
-5z3(4z(4z+1)-3(4z+1))
Factor the polynomial by factoring out the greatest common factor, 4z+1.
-5z3((4z+1)(4z-3))
-5z3((4z+1)(4z-3))
Remove unnecessary parentheses.
-5z3(4z+1)(4z-3)
-5z3(4z+1)(4z-3)
Factor -80z^5+40z^4+15z^3

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