Question

Division of a polynomial by another polynomial.

Please do it in Long Division Method.

1. (a²-23a-50) ÷ a-35
2. x²+17x-9÷x+3

Answer 1

2..x+3|x²+17x-9|x+14
x²+3x
--------------
14x-9
14x+42
--------------
-51.
remaining let the other helper answer

Answer 2

(1)

a -35 ) a² -23a -50 ( a + 12

a² -35a
===========
(a² -a²) + (35 -23)a

0 + 12a -50

12a -35 × 12

==============
( 8 - 8)a + ( -50 + 420)

0 + 370

hence, remainder = 370
Quotient = ( a + 12)

=============×××××××××============

(2)

x + 3 ) x² + 17x - 9 ( x + 14

x² + 3x

==========
(x² - x²) + ( 17 - 3)x

0 + 14x - 9

14x + 42

=========
( 14 - 14)x + ( -42 - 9)

0 -51

hence , remainder = -51
quotient = x + 14