Question
Sat April 18, 2015 By: Archita Srivastava

If x+2 is a factor of x2 + ax + 2b and a+b=4, then find the value of a and b

Expert Reply
Vimala Ramamurthy
Sun April 19, 2015
S i n c e space x plus 2 space i s space a space f a c t o r space o f space x squared plus a x plus 2 b equals 0 comma space w e space h a v e comma open parentheses negative 2 close parentheses squared plus a open parentheses negative 2 close parentheses plus 2 b equals 0 rightwards double arrow 4 minus 2 a plus 2 b equals 0 rightwards double arrow 4 equals 2 a minus 2 b rightwards double arrow 2 a minus 2 b equals 4 rightwards double arrow a minus b equals 2 G i v e n space t h a t space a plus b equals 4 A d d i n g space t h e space t w o space e q u a t i o n s comma space a minus b equals 2 space a n d space a plus b equals 4 comma space w e space h a v e comma 2 a equals 6 rightwards double arrow a equals 6 over 2 rightwards double arrow a equals 3 S i n c e space a plus b equals 4 comma space w e space h a v e comma space b equals 1
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