16. Find the zeros of the quadratic polynomial x +5x+6 and verify the
relationship between the zeroes and coefficients.
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Answer:
x
2
+5x+6=0
x
2
+2x+3x+6=0
x(x+2)+3(x+3)=0
(x+2)(x+3)=0
x=−2,−3
∴α=−2,β=−3
α+β=−
a
b
−2−3=−
1
5
−5=−5
αβ=
a
c
(−2)(−3)= x
2
+5x+6=0
x
2
+2x+3x+6=0
x(x+2)+3(x+3)=0
(x+2)(x+3)=0
x=−2,−3
∴α=−2,β=−3
α+β=−
a
b
−2−3=−
1
5
−5=−5
αβ=
a
c
(−2)(−3)=
1
6
6=6
1
6
6=6
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