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Consider the quadratic polynomial
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the quadratic polynomial
q
(
x
)
=
3
x
2
+
(
2
k
+
1
)
x
+
k
q(x)=3x^{2}+(2k+1)x+k
q
(
x
)
=
3
x
2
+
(
2
k
+
1
)
x
+
k
, where
k
k
k
is a real number. The product of its zeros is
2
2
2
. Solve the following. (i) Determine the value of
k
k
k
. (ii) For the value of
k
k
k
obtained in part (i), calculate the sum of the zeros.
Related theory
Polynomials
Functions
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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