if k-2 is the factor of x3 +9x2+bx +18 and a-b=7 find a and b
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hii..
SOLUTION:-
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EQ. X^3+9X^2+BX+18
GIVEN, a+b=7, b= 7-a ...........eq.(1)
k-2, then p(2) is zero of p(x)
then p(2)= (2)^3+9×(2)^2+(7-a)×2+18 = 0
= 8+36+14-2a+18 = 0
= 76= 2a
= a= 38
put (a)'s value is eq.(1)
b= 7-38
b= -31 , a= 38 ans
i hope its helpfull for u..
SOLUTION:-
____________________________________
EQ. X^3+9X^2+BX+18
GIVEN, a+b=7, b= 7-a ...........eq.(1)
k-2, then p(2) is zero of p(x)
then p(2)= (2)^3+9×(2)^2+(7-a)×2+18 = 0
= 8+36+14-2a+18 = 0
= 76= 2a
= a= 38
put (a)'s value is eq.(1)
b= 7-38
b= -31 , a= 38 ans
i hope its helpfull for u..
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