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Byju's Answer
Standard XII
Mathematics
Quadratic Polynomial
If -2 and ...
Question
If
−
2
and
7
2
are the zeroes of the polynomial
2
x
3
−
9
x
3
−
19
x
+
42
. The third zero of the polynomial is:
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Solution
Product of roots
=
−
42
2
=
−
21
⇒
α
×
−
2
×
7
2
=
−
21
⇒
α
=
3
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Q.
Obtain all zeros of the polynomial f(x) = 2x
4
+ x
3
− 14x
2
− 19x − 6, if two of its zeros are −2 and −1.