Question

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Factorise--7x²-19x-6/7x+2


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Class 8th✔
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Answer 1

${\huge{\sf{\red{\underline{\underline{\dag{Answer : \dagger}}}}}}}$

$\\ \large { \sf{ \implies{ \frac{ 7x²-19x-6}{7x+2}}}}$

Factorising the Polynomial of Numerator:-

$\\ \large { \sf{ \implies{ \frac{ 7x²-21 x + 2x-6}{7x+2}}}}$

$\\ \large { \sf{ \implies{ \frac{7x(x - 3) + 2(x - 3)}{7x + 2} }}}$

$\\ \large { \sf{ \implies{ \frac{(7x + 2)(x - 3)}{7x + 2} }}}$

Cancelling the 7x + 2 :-

$\\ \large { \sf{ \implies{ \frac{ \cancel{(7x + 2)} \: \: (x - 3)}{ \cancel{{7x + 2} }}}}}$

$\\ {\pink{\large{\underline{\boxed{\sf{ \implies{\green{x -3}}}}}}}}$

$\\ \large { \sf{ \implies{ \frac{ 7x²-21 x + 2x-6}{7x+2}}}}\\ \large { \sf \\ { \implies{ \frac{ \cancel{(7x + 2)} \: \: (x - 3)}{ \cancel{{7x + 2} }}}}}\\ \large { \sf{ \implies{ \frac{(7x + 2)(x - 3)}{7x + 2} }}}\\ \large { \sf{ \implies{ \frac{ 7x²-21 x + 2x-6}{7x+}}}}$

Value of x is :-

${\sf{\large{\leadsto{x - 3= 0}}}}$

$\\ {\pink{\large{\underline{\boxed{\sf{ \implies{\red{x = 3}}}}}}}}$

Answer 2

Answer:

HELLO!!!

Step-by-step explanation:

SOLUTION

$Factorise-- \\ \: 7x²-19x-6/7x+2 \\ \: = \frac{ 7 {x}^{2} -( 21 - 2)x - 6}{7x + 2 } \\ = \frac{ 7 {x}^{2} - 21x + 2x - 6}{7x + 2 } \\ = \frac{ 7x(x - 3) + 2(x - 3)}{7x + 2} \\ = \frac{ (x - 3)(7x + 2)}{7x + 2} \\ = x - 3$

...........hope.....it.......helps.........you