if (x-3) is a factor of x3+a(x²)+bx+18 and a+b=-7 . find a and b
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Answer:
a=-4 and b=-3
Step-by-step explanation:
x-3=0
Therefore, x=3
Substituting,
f(3)=0=3^3+a(3^2)+b(3)+18
0-18-27=9a+3b
-45=9a+3b
-15=3a+b
As a+b=-7
These are linear equations.
Solving them, we get:
a=-4 and b=-3
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