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Mathematics — Class 10
Chapter 3: Polynomials
Chapter 3
Polynomials
p(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀
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What is a polynomial? What is its degree?
A polynomial is an expression with variables and coefficients. The degree is the highest power of the variable. Page 42

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Chapter 9 — Forces & Newton's Laws · Page 78
Science · Class 9 · Chapter 9
Forces and Laws of Motion
A simple push or pull balanced force acting on an object does not change the state of rest or uniform motion of the body.
Newton's Second Law of Motion states that the rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of force.
The mathematical expression is given as: F = m × a where F is the net force, m is the mass in kilograms, and a is acceleration.
AI Note: This is the key formula — memorise units: F in Newtons, m in kg, a in m/s²
The SI unit of force is the Newton (N). One Newton is defined as the force that produces an acceleration of 1 m/s² in a body of mass 1 kg.
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What is the formula of Force and how is it related to Newton's Second Law?
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According to Newton's Second Law, force is directly proportional to the rate of change of momentum of an object:

Where F is Force (Newtons), m is mass (kg), and a is acceleration (m/s²). A greater force produces proportionally greater acceleration for the same mass.

📖 Page 78 📖 Page 79
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What is the SI unit of Force and how is it derived from Newton's Second Law?
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✦ AI Answer
The SI unit of force is the Newton (N). From F = ma, one Newton = the force needed to accelerate a 1 kg mass at 1 m/s². So:

1 N = 1 kg · m/s²
Answer
✗ Again ✓ Got it
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Q
Define inertia & give an example.
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State Newton's Third Law with action-reaction pair.
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What is conservation of momentum?

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Selected text from Chapter 9, Page 82
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Page 96 …green plants make their own food by photosynthesis using sunlight, water and carbon dioxide…
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Page 103 …rate of photosynthesis depends on light intensity, temperature and CO₂ concentration…
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Science · Ch 6 — Life Processes · Page 98
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Forces & Laws of Motion · Life Processes
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