find the quadratic polynomial each with the number given below as sum and product of its zeroes respectively (1) 3/5, -2/5
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Answer:
Let the polynomial be
p(x)=ax
2
+bx+c
Sum of zeroes =
2
−
a
b
=
2
Asuuming a=1
−
1
b
=
2
b=−
2
Product of zeroes =−1
a
c
=
3
1
Assuming a=1
c=
3
1
Now a=1, b=−
2
and c=
3
1
Hence, the required quadratic polynomial =ax
2
+bx+c
=x
2
−
2
x+
3
1
=3(x
2
−
2
x+
3
1
)
=3x
2
−3
2
x+1
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