Question

divide the polynomial

all 3

Answer 1

$HELLO \: \: \: \: DEAR,$




x - 6)x² - 12x + 40(x - 6
******x² - 6x
*****=========
********-6x + 40
********- 6x + 36
******===========
*********** 4

HENCE, remainder is "4"
q(x) = (x - 6)


---(2)

2x - 5)4x⁴ - 10x³ - 10x² + 30x - 15(2x³ - 5x + 5/2
********4x⁴ - 10x³
********=================
************ 0 - 10x² + 30x
**************** - 10x² + 25x
*****************============
********************** 5x - 15
********************* 5x - 25/2
********************==============
*************************25/2 - 15 = -5/2


remainder = -5/2
q(x) = 2x³ - 5x + 5/2


-----(3)


2x² - 6)6x^5 - 28x³ + 3x² + 30x - 9(3x³ - 5x - 3/2
********6x^5 - 18x³
********==================
************- 10x³ + 3x² + 30
*********** - 10x³ + 30x
************** ===============
***************** 3x² - 9
***************** 3x² - 9
******************========
******************** 0 + 0

remainder = 0
q(x) = 3x3 - 5x - 3/2




I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Hope this helps you ☺☺