1.) Find the value of a and b so that the polynomial x^ 3 - 4x^2 + ax + b is exactly divisible by x-2 as well as x+1.
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Answer:
Step-by-step explanation:if it should be divisible by x-2
keep x=2
so
8-16+2a+b=0
2a+b=8 - 1
now if it should be divisible by x+1
keep x=-1
so
-1-4-a+b=0
b-a=5 - 2
subtract 2 from 1
2a+b-(-a+b)=8-5
2a+b+a-b=3
3a=3 2(1)+b=8
a=1 b=4
pardeepsingh34:
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