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For the quadratic polynomial
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
For the quadratic polynomial
k
x
2
+
m
x
+
6
kx^{2}+mx+6
k
x
2
+
m
x
+
6
, the product of its zeros is equal to their sum. Also, the value of the polynomial at
x
=
1
x=1
x
=
1
is
12
12
12
. Find the values of
k
k
k
and
m
m
m
.
Related theory
Pair of Linear Equations
Polynomials
Functions
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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