if (x+1) and (x+2) are the factor of the polynomial p(x)=x3+ax2+2x+a+4.
rishika5961:
only factor
Oh ok ...I'll do it
yes
sorry
ok
Wait a minute. ..There should be 2 unknowns in ur question
what
Like maybe the equation should be x3+ax2+2x+b+4
b ki place par a h
its ok
Answers
Answered by
3
Step-by-step explanation:
p(-1) = 0
p(-2) = 0. (Because x+1 and x+2 both are factors)
p(-1) = p(-2)
(-1)³+a(-1)²+2(-1)+a+4 = (-2)³+a(-2)²+2(-2)+a+4
-1+a-2 = -8+4a-4 (a+4 is both sides so they are cancelled)
-1-2+8+4 = 4a-a
3a = 9
a = 3
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Answered by
3
p(-1) = 0
p(-2) = 0. (Because x+1 and x+2 both are factors)
p(-1) = p(-2)
(-1)³+a(-1)²+2(-1)+a+4 = (-2)³+a(-2)²+2(-2)+a+4
-1+a-2 = -8+4a-4 (a+4 is both sides so they are cancelled)
-1-2+8+4 = 4a-a
3a = 9
a = 3
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