find the values of a and b so that the polynomial x3+10x2+ax+b is exactly divisible by x-1 and x-2
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2
Answer:
45 or it may be
Explanation:
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Answered by
3
Explanation:
Factors given are (x-1) and (x-2)
So, x=1 abd x=2
p(x)=x3+10x2+ax+b
p(1)=(1)3+10(1)2+a(1)+b
=1+10+a+b
=11+a+b
b=-11-a..........1
p(x)=x3+10x2+ax+b
p(2)=(2)3+10(2)2+a(2)+b
=8+40+2a+b
=48+2a+b
From 1
=48+2a+(-11-a)
=37-a
a=37
b=-11-a
=-11-(37)
=- 48
Therefore, a=37 and b= -48
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