Question

What is (14x^2– 27x+9) / (7x-3)?

A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33

Answer 1

`\tt{}2x - 3`

Explanation:

`\tt{} \frac{(14 {x}^(2) - 27x + 9) }{(7x - 3)}`

`\tt{} \frac{14 {x}^(2) - 6x - 21x + 9 }{7x - 3}`

`\tt{} (2x * (7x - 3) - 3(7x - 3))/(7x - 3 )`

`\tt{}2x - 3`

Answer 2

B. 2x - 3

Explanation:

`\rm \frac{ {14x}^(2) - 27x + 9}{7x - 3}`

`\rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}}`

`\boxed{ \rm \bold{= 2x - 3}}`