Question

the factorization of 4x²+8x+3 is​

Answer 1

Answer:

4x^2+8x+3

4x^2+2x+6x+3

2x(2x+1) +3(2x+1)

(2x+1) (2x+3)

x=-1/2, -3/2

Answer 2

Answer: (2x + 1) (2x + 3) are the factors.

Step-by-step explanation:

Given: 4x² + 8x + 3

To: Factorize

We will factorize it by using splitting the middle term method.

• Step 1: Multiply the constant term with the first term.

3 * 4x² = 12x²

• Step 2: Find two numbers.

Find two numbers such that when you multiply you get 12x² and when you add them you should get 8x (middle term)

Such two numbers in this case is 2x and 6x .

• Step 3: Writing the two numbers in the place of middle term.

So, we now write it as:

4x² + 2x + 6x + 3

• Step 4: Find out the common.

Find out the commons by making pairs.

∴ 2x (2x + 1 ) + 3 (2x + 1)

∴ (2x + 1) (2x + 3) are the factors.

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