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Amari Richard
Mathematics
26 April, 19:14
Factor the polynomial:
a^4+2a^3-a-2
+5
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1
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Delacruz
26 April, 19:36
0
(a-1) * (a^2 + a-1) (a+2)
Step-by-step explanation:
a^4+2a^3-a-2
Lets factor by grouping
a^4-a + 2a^3-2
Factor out an a from the first group and a 2 from the second group
a (a^3 - 1) + 2 (a^3-1)
Factor out (a^3-1)
(a^3-1) (a+2)
We need to recognize that a^3-1 is the difference of cubes
(x^3-y^3) = (x-y) (x^2+xy+y^2)
Let x=a and y=1
(a-1) * (a^2 + a-1) (a+2)
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