Long division — finding remainder; minimum of quadratic; line through two points; turning points Previous Year Questions | Prasnya
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Long division —...
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Q1
Consider two polynomials
p
(
x
)
=
x
4
+
3
x
3
−
9
x
+
8
p(x) = x^4 + 3x^3 - 9x + 8
and
q
(
x
)
=
(
x
2
+
x
)
(
x
+
3
)
q(x) = (x^2 + x)(x + 3)
. Let
r
(
x
)
r(x)
be the remainder obtained when
p
(
x
)
p(x)
is divided by
q
(
x
)
q(x)
. Let
l
(
x
)
l(x)
be the straight line passing through the
y
y
-intercept and the minimum point of
r
(
x
)
r(x)
. Which of the following options is/are true?
Multiple correct
FEBRUARY 23, 2025
FEBRUARY 23, 2025
