Question

The factorization of 6x^2 + 11x + 3 is:

Answer 1

$6 {x}^{2} + 11x + 3 \\ = 6 {x}^{2} +9x + 2x + 3 \\ = 3x(2x + 3) + 1(2x + 3) \\ = (2x + 3)(3x + 1)$

This question is SOLVED using splitting the middle term.

step by step explanation:-

Let , a = 6 and c= 3 and b = 11.

Acc. to thus process we should split/divide the middle term into two numbers such that the product of the number is equal to" ac" and if added or subtracted the result is" b".

So.

here ac = 6 ×3 =18

b =11

Hence two numbers are 9 and 2.

After splitting the middle term into two numbers make two groups as shown.

Make the group in such a way that in the bracket value us same as shown. Then again take common and you will get the result.

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