Question

if the zeros of a x.cube minus 3 X square + X + 1 are a minus b and a + b then find a&b

Answer 1

here is your answer by Sujeet yaduvanshi,

given that cubic polynomial,
x³-3x²+x+1

find value
a-b and a+b

sum of zeroes=-b/a
a-b+a+a+b=-(-3)/1
3a=3
a=3/3
a=1



then,
product of zeroes=-1/1
a-b*a*a+b=-1/1
1-b*1*1+b=-1
b²+1=-1
b²=-1-1
b²=-2
b=±2


that's all