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Answer:
a= -9
b= 24
Step-by-step explanation:
p(x)=x^3+ax+bx-20
x-5=0
x=5
p(5)=>5^3+25a+5b-20=0
=>125+5(5a+b)-20=0
=>5(5a+b)= -105
=>5a+b= -21.......(equation i)
x-3=0
x=3
p(3)=>3^3+9a+3b-20= -2
=>27+3(3a+b)-20= -2
=>3(3a+b)= -9
=>3a+b= -3........(equation ii)
subtracting equation ii from i
5a+b= -21
3a+b= -3
------------------
2a = -18
a= -9
putting the value of a in equation i
5(-9)+b= -21
-45+b= - 21
b= -21+45
b= 24
ans. a= -9
b= 24
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