Question

Find the quotient and remainder when (i) Divide (6x2 + x – 15) by (2x-3)​

Answer 1

$\sf \underline\red{To \: find : }$

Find the quotient and remainder when (i) Divide (6x2 + x – 15) by (2x-3)

$\sf \red{Answer : }$

$\sf\frac{6 {x}^{2} +x - 5 }{2x - 3}$

$\sf = \frac{6 {x}^{2} + x - 15 }{2x - 3}$

$\big \sf = \frac{(3x + 5)(2x - 3)}{2x - 3}$

$\bf \red{= 3x + 5}$

Answer is :3x+5.

Answer 2

$\sf \underline\red{To \: find : }$

Find the quotient and remainder when (i) Divide (6x2 + x – 15) by (2x-3)

$\sf \red{Answer : }$

$\sf\frac{6 {x}^{2} +x - 5 }{2x - 3}$

$\sf = \frac{6 {x}^{2} + x - 15 }{2x - 3}$

$\big \sf = \frac{(3x + 5)(2x - 3)}{2x - 3}$

$\bf \red{= 3x + 5}$

Answer is :3x+5.