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Jlenok [28]
3 years ago
7

Please help me I will give brainlest if right

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Given:

Consider the given polynomial is:

x^3+4x^2+16x+64

To find:

The complete factorization of the given polynomial.

Solution:

We have,

x^3+4x^2+16x+64

Using grouping method, we get

=(x^3+4x^2)+(16x+64)

=x^2(x+4)+16(x+4)

=(x+4)(x^2+16)

=(x+4)(x+4i)(x-4i)         [\because x^2+y^2=(x+iy)(x-iy)]

Therefore, the correct option is C.

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