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dmitriy555 [2]
3 years ago
10

Find the complete factored form of the polynomial -24a6b4-40a3

Mathematics
1 answer:
Naddik [55]3 years ago
8 0

For this case we have the following polynomial:

-24a ^ 6b ^ 4-40a ^ 3

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

24 = 3 * 8\\40 = 5 * 8

Then we look for the GFC of the variables:

We have then:

a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3

Finally rewriting we have: -24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)

Answer:

the complete factored form of the polynomial is:

-8a ^ 3 (3a ^ 3b ^ 4 + 5)

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