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For the quadratic polynomial
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
For the quadratic polynomial
f
(
x
)
=
3
x
2
+
a
x
+
b
f(x)=3x^2+ax+b
f
(
x
)
=
3
x
2
+
a
x
+
b
, the remainders obtained on dividing
f
(
x
)
f(x)
f
(
x
)
by
(
x
−
1
)
(x-1)
(
x
−
1
)
and by
(
x
+
2
)
(x+2)
(
x
+
2
)
are equal. Also,
x
=
−
1
x=-1
x
=
−
1
is a zero of
f
(
x
)
f(x)
f
(
x
)
. Determine the values of
a
a
a
and
b
b
b
.
Related theory
Division Algorithm for Polynomials
Polynomials
Polynomial Functions
Functions
Relationship between zeroes and coefficients
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