Question

find the value of remainder when x²+(a+b)x +ab is divided by (x+a)​

Answer 1

remainder will be zero when x² + (a + b)x + ab is divided by (x + b)

we have to find the remainder when x² + (a + b)x + ab is divided by (x + b).

let's resolve x² + (a + b)x + ab into simpler form.

x² + (a + b)x + ab

= x² + ax + bx + ab

= x(x + a) + b(x + a)

= (x + a)(x + b)

here we see, (x + b) is a factor of x² + (a + b) + ab, so remainder will be zero.

other method :

x + a ) x² + (a + b)x + ab (x + b

x² + ax

___________

bx + ab

bx + ab

____________

0

hence, remainder = 0

$\huge \pink {sushant2141}$

Answer 2

Answer:

hope it will help you and u understand it