Question

3x
$3x { }^{2} - 7x - 6 \div x - 3$

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Answer 1

Answer :

We have to,

• ${\sf{ { 3x}^{2} - 7x - 6}}$ ÷ x - 3

Solution :

• If we factorise the above value that is ${\sf{ { 3x}^{2} - 7x - 6}}$
• Then the solution becomes easy.

= ${\sf{ { 3x}^{2} - 7x - 6}}$

= ${\sf{ { 3x}^{2} + 2x - 9x - 6}}$

= x(3x + 2) -3 (3x + 2)

= (3x + 2) (x - 3)

• Now, as we have the factors so divide it by x - 3

={ (3x + 2) (x - 3) } ÷ x - 3

= ${\sf{\left(\dfrac{ (3x + 2) \cancel{(x - 3)}}{\cancel{x - 3}}\right)}}$

= (3x + 2)

• Thus , the required answer is (3x + 2) respectively.

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