Question

factories 3x²+ 7x+2 by splitting the middle term​

Answer 1

Answer: (3x + 1) (x + 2)

Step-by-step explanation:

Product of first and third term = 6$x^{2}$.

Sum of the first and third term = 7x.

Factors = 6x + 1x.

= 3$x^{2}$ + 6x + 1x + 2.

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

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

Answer 2

Answer:

Thanks ❤ for asking the question, here is the explanation:

in splitting the middle term method we have to split the middle in two half's such that the 2 half's add up to make the middle no. (here 7x) and on multiplying should give the multiple of corner digits (here 3 and 2)

so 3x² × 2 = 6x²

now we have to split 7x such that the addition of digits will give 7 and multiplication of digits give 6

so 7x will be split as (6+1) x.

as 6+1 = 7

and 6×1 =6

= 3x² + (6+1)x +2

= 3x² + 6x + 1x + 2

taking x common from (3x²+6x) and taking 1 common from (1x+2)

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

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