Question

the factorization of 6 X square + 11 X + 3 is​

Answer 1

Answer:

6x2+11x+3

6x3=18

18=1,2,3,6,9,18

6x2+2x+9x+3

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

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

Step-by-step explanation:

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Answer 2

Given:

We have given a quadratic equation $6x^2+11x+3$.

To Find:

Factorize the equation?

Step-by-step explanation:

• We have given the quadratic equation which is written below.

       $6x^2+11x+3$

• For factorizing the given equation we will follow the following steps.
• First of all, write the middle term as the addition of the subtraction form of the last term.

        $6x^2+11x+3\\6x^2+2x+9x+3$

• Now take the terms common from the first two terms of the last equation we will get

       $6x^2+2x+9x+3\\2x(3x+1)+9x+3$

• Similarly, take the terms common from the last two terms of the above equation we will get

       $2x(3x+1)+9x+3\\2x(3x+1)+3(3x+1)$

• Now take the term common from the whole equation we will get          $2x(3x+1)+3(3x+1)\\(3x+1)(2x+3)$

Hence, the factor of the equation are $(3x+1)(2x+3)$