Question:
If $p(y)=4+3 y-y^{2}+5 y^{3}$, find
(i) $p(0)$,
(ii) $p(2)$,
(iii) $p(-1)$
Solution:
(i) $p(y)=4+3 y-y^{2}+5 y^{3}$
$\Rightarrow p(0)=\left(4+3 \times 0-0^{2}+5 \times 0^{3}\right)$
$=(4+0-0+0)$
$=4$
(ii) $p(y)=4+3 y-y^{2}+5 y^{3}$
$\Rightarrow p(2)=\left(4+3 \times 2-2^{2}+5 \times 2^{3}\right)$
$=(4+6-4+40)$
$=46$
(iii) $p(y)=4+3 y-y^{2}+5 y^{3}$
$\Rightarrow p(-1)=\left[4+3 \times(-1)-(-1)^{2}+5 \times(-1)^{3}\right]$
$=(4-3-1-5)$
$=-5$
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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