Question

factorize : 6x²+11x-35​

Answer 1

$\huge\fcolorbox{cyan}{orange}{Solutions:-}$

${6x}^{2} + 11x - 35 \\ = > \: 6 {x}^{2} + 21x - 10x - 35 \\ = > 3x(2x + 7) - 5(2x + 7) \\ = > (3x - 5)(2x + 7)(ans)$

Procedure:-

• First we have to multiple 6 with 35 and we will get 210.
• Then we have to factorize 210 to get all its factors.
• Factors of 210:--

1. 1×210
2. 2×105
3. 3×70
4. 5×42
5. 6×35
6. 7×30
7. 10×21---We have to choose it.
8. 14×15

• And we have to choose the pair that when added or subtracted should give the output 11.
• So for this we have to  select  7th pair , because if we subtract 10 from 21, we will 11, which is required to do the sum by the process of 'middle term factorization''.

I hope it can help you.