Question

Factorise:

3x^2 +5x +2​

Answer 1

Answer:

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

Explanation:

Given:

3x²+5x+2

To find:

Factors of the equation

Solution:

= 3x² +5x+2

= 3x²+3x+2x +2

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

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

Therefore, (x+1) and (3x+2) are the factors

Answer 2

3x^2+5x+2

Using middle term splitting method

Step 1. Splitting should be done in such a way that the addition of two terms formed after splitting is equal to middle term nd its product is equal to product of remaining terms that donot include middle term

3x^2+3x+2x+2

Step2. Factor inside the bracket should be same in both

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

Step 3. Taking bracket part common

We get

(3x+2)(x+1)

Hope this will help u