Question

Date ( x^{3}+a x^{2}+b x-30=0 )
200000283
"
[
begin{array}{l}
(2)^{3}+4 a+2 b-30=0
2 a+b-11=0 quad-(1)
(3)^{3}+9 a+3 b-30=0
3 a+b-1=0-10
(11)-(1)
end{array}
]
( Rightarrow quad a+10=0 )
( Rightarrow a=-10 )
Substituting ( a=-10 ) in
[
begin{array}{r}
-20+6-11=0
-6=20+31
end{array}
]

# 005: Find the values of a and b, if 2 and 3 are zeroes of x + ax + bx - 30.

Solution