2. The zeroes of the polynomial x2 – 3x - mm + 3) are: (a) m,m + 3 (b) -m,m + 3 (c) m,- (m + 3) (d) -m, - (m + 3)
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Answer:
The zeroes of f(x) are –m and +3.
Step-by-step explanation:
Let f(x)=x
2
−3x−m(m+3)
Above polynomial can be written as,
f(x)=x
2
−(m+3)x+mx−m(m+3)
=x(x−m−3)+3(x−m−3)
=(x−m−3)(x+m)
To find the zeroes of f(x), put f(x)=0
(x−m−3)(x+m)=0
x−m−3=0 or x=−m
Required zeros are (m+3),−m
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