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VMariaS [17]
2 years ago
5

Factor the polynomial by grouping : x^3+5x^2-6x-30

Mathematics
1 answer:
andrew-mc [135]2 years ago
4 0

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

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We can solve by subtracting the initial amount of mugs from the final amount of mugs.

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