Algebra of Polynomials — Addition, Subtraction, and Multiplication Questions | Prasnya
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Algebra of Polynomials — Addition, Subtraction, and Multiplication - Algebra of Polynomials...
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Q1
A drone's vertical displacement (in meters) over time is modelled by
D
(
x
)
=
x
4
−
3
x
3
+
3
x
+
3
D(x) = x^4 - 3x^3 + 3x + 3
, where
x
x
is time in seconds. A wind gust's force variation is modelled by
F
(
x
)
=
x
2
+
x
−
4
F(x) = x^2 + x - 4
. An engineer models a control response line
R
(
x
)
R(x)
that passes through the point
(
1
,
F
(
1
)
)
(1, F(1))
and has a slope of
−
2
-2
. Compute the total response
D
(
x
)
+
R
(
x
)
⋅
F
(
x
)
D(x) + R(x) \cdot F(x)
. Choose the correct option.
Single correct
JULY 13, 2025
JULY 13, 2025
