if x-2 is a factor of x2+ax+b and a+b=1 then find the value of a and b.
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venkatlohith20141225:
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Answer:
a = -1, b = 2
Step-by-step explanation:
x2+ax+b= x(x-2) + x(a+2) -2(a+2)
=(x - 2) (x+a+2)
comparing constant terms on both sides we get
b= -2(a+2)
= - 2a - 4
substituting the value of b in a+b = 1
a - 2a -4 = 1
-a - 4 = 1
-a =5
a = -5 , b = 1 - a
b = 1 + 5 = 6
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