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Anna [14]
3 years ago
6

Use the grouping method to factor this polynomial completely. 4x3 + 8x2 + 3x+6

Mathematics
2 answers:
Vilka [71]3 years ago
5 0

Answer:

(x + 2)(4x^2 + 3)

Step-by-step explanation:

The first two terms factor as follows:  4x^2(x + 2).

The last two factor as follows:  3(x + 2).

Thus, (x + 2) is a factor of 4x3 + 8x2 + 3x+6:

4x^2(x + 2) + 3(x + 2), or:

(x + 2)(4x^2 + 3).

Note that 4x^2 + 3 can be factored further, but doing so yields two complex roots.

kati45 [8]3 years ago
5 0

Answer: (x + 2)(4x^2 + 3)

Step-by-step explanation:

4x3 + 8x2 + 3x+6 becomes 4x^2(x + 2) + 3(x + 2) and can also be written as (x + 2)(4x^2 + 3).

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

Now you know the answer as well as the formula. Hope this helps, have a BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

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