Question

find the quotient if 4x³ - 6x² - 5x +3 is divided by (x - 2)​

Answer 1

Step-by-step explanation:

Question :-

$Find the quotient if 4x³ - 6x² - 5x + 3 is divided by ( x - 2 )$

To find :-

$4x³ - 6x² - 5x + 3 ÷ ( x - 2 )$

Solution :-

$( 4x³ - 6x² - 5x )/ x - 2$+ 3/x-2

$\frac{( {4x}^{3} - 6 {x}^{2} - 5x)(x - 2) + 3 }{x - 2}$

$4x {} {}^{4} - 8 {x}^{3} - 6 {x}^{2} + 12 {x}^{2} - 5 {x}^{2} + 10x + 3/x-2$

$\frac{4 {x}^{4} - 10x + 3 + {7x}^{2} - 14 {x}^{3} }{x - 2}$

$†Answer$ :-$\frac{4 {x}^{4} - 10x + 3 + {7x}^{2} - 14 {x}^{3} }{x - 2}$