If the zeroes of the quadratic polynomial 2 + (a +1)x + b are 2 and -3, then find the value of a and b.
pls help me and pls answer it fast pls
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If the zeroes of the quadratic polynomial 2 + (a +1)x + b are 2 and -3, then find the value of a and b.
pls help me and pls answer it fast pls
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Step-by-step explanation:
Given Question:-
If the zeroes of the quadratic polynomial
22 + (a +1)x + b are 2 and –3, then find the value of a and b.
Correct Question:-
If the zeroes of the quadratic polynomial
2x²+(a+1)x+b are 2 and -3 then find the value of "a" and "b".
Solution:-
Given polynomial P(x)=2x²+(a+1)x+b
If 2 and -3 are then P(2)=0 and P(-3)=0 by Factor theorem.
P(2)=2(2²)+(a+1)(2)+b=0
=>8+2a+2+b=0
=>2a+b+10=0
=>2a+10=-b
=>b=-(2a+10)-----(1)
and P(-3)=2(-3)²+(a+1)(-3)+b=0
=>18-3a-3+b=0
=>15-3a+b=0
=>15-3a-2a-10=0
=>5-5a=0
=>5a=5
=>a=5/5
=>a=1
from (1)
-(2(1)+10)=b
=>-(2+12)=b
=>b=-12
a=1 and b=-12
Answer:-
The values of a=1 and b=-12