Question

factorize :-
6x²+11x+3
plz tell ASAP
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Answer 1

Answer:

Factoring 6x2+11x+3

The first term is, 6x2 its coefficient is 6 .

The middle term is, +11x its coefficient is 11 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 6 • 3 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 11 .-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9

-3 + -6 = -9

-2 + -9 = -11

-1 + -18 = -19

1 + 18 = 19

2 + 9 = 11 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 9

6x2 + 2x + 9x + 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (3x+1)

Add up the last 2 terms, pulling out common factors :

3 • (3x+1)

Step-5 : Add up the four terms of step 4 :

(2x+3) • (3x+1)

Which is the desired factorization

ur answer is (3x + 1) • (2x + 3)