Find the zeroes of polynomial p(x)=x(x+1)(x+2)
Answers
Answered by
1
The zeroes are:-
x=0
x=-1
x=-2
Hope this will help you
x=0
x=-1
x=-2
Hope this will help you
Answered by
16
GIVEN :-
P(x) = x(x+1)(x+2)
(x+1) = 0
=> x = (-1)
(x+2) = 0
=> x = (-2)
.
We can take P(0),
P(0) = 0*(0+1)(0+2)
P(0) = 0*1*2
P(0) = 0
Now,
taking P(-1),
P(-1) = (-1)*(-1+1)(-1+2)
P(-1) = (-1)*0*1
P(-1) = 0
Now,
taking P(-2),
P(-2) = (-2)*(-2+1)(-2+2)
P(-2) = (-2)*(-1)*0
P(-2) = 0
Hence,
0, (-1) and (-2) are the zeroes of the polynomial P(x) = x(x+1)(x+2)
P(x) = x(x+1)(x+2)
(x+1) = 0
=> x = (-1)
(x+2) = 0
=> x = (-2)
.
We can take P(0),
P(0) = 0*(0+1)(0+2)
P(0) = 0*1*2
P(0) = 0
Now,
taking P(-1),
P(-1) = (-1)*(-1+1)(-1+2)
P(-1) = (-1)*0*1
P(-1) = 0
Now,
taking P(-2),
P(-2) = (-2)*(-2+1)(-2+2)
P(-2) = (-2)*(-1)*0
P(-2) = 0
Hence,
0, (-1) and (-2) are the zeroes of the polynomial P(x) = x(x+1)(x+2)
Swarup1998:
Nice answer. Good. :)
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