Question

# 0 to 9. 1. Obtain all zeroes of x4 -3x3-7x2 + 9x +12 iftwo of its zeroes are +3. Sum of zeroes is che quadratic polynom

Solution

16
X = 253
pelt.
X²-3=0 which is one of roots.
Dividing (x2-3) by the one the equ.
X² -3x - 4
X²-3 | x4 - 3x3 -7x² + 9x+12 w do
X4 3x ?
I – 3x² - 4x2 + 9x +12
-3x3 +9x & Had to
1 - 4x2 # 12
- 4x2 & 12
sell
x2-3x -4.20
. (x-4) (x+1)=0
Its zroces are th3,4, s
Sum ob Zeroes = + = 8/3 +4-1