if x 3 is a factor of x 3 ax 2x^3+ax^2+2bx+18 and a+b=−7 find a and b
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Answered by
3
Answer:
f(x)=x³+ax²+2bx-24
f(4)=4³+a.4²+2.b.4-24=0
=>64+16a+8b=24
=> 16a+8b=24-64
=> 2a+1b=3-8
=> 2a+b=-5.........(i)
a-b=8..........(ii)
Solving eq.(i) & (ii)
2a+b=-5
a-b=8
_________
3a=3
=>a=1
Substituting the value of a in eq.(ii)
1-b=8
=>b=-7
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Answered by
2
Answer:
b=-7 is your answer.........
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