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Akimi4 [234]
3 years ago
5

Factor completely 2x3 + 8x2 + 3x + 12.

Mathematics
1 answer:
goblinko [34]3 years ago
8 0

Answer:

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

Step-by-step explanation:

2x^3+8x^2+3x+12

We need to find the factors of given equation;

Solution:

On Solving the above equation we get;

Now First we will take common factor from first 2 terms which is 2x^2 we get;

2x^2(x+4) + 3x+12

Now we will take the common factor from the last 2 terms which is 3 we get;

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

Here we get 2 terms in which (x+4) is common factor.

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

Hence After factorizing the given equation we get (2x^2+3)(x+4).

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