The roots can be found using the factorization method: (x - 2)(x - 3) = 0, hence the roots are 2 and 3.

Enthalpy (H) represents the total heat content of a system at constant pressure and is defined as internal energy plus pressure-volume work.

Enthalpy refers to the heat content of a system at constant pressure, defined as internal energy plus pressure times volume.

Salivary amylase is the enzyme that begins the digestion of carbohydrates in the mouth.

Inserting a dielectric material increases the capacitance of the capacitor by a factor equal to the dielectric constant of the material.

The capacitance increases when a dielectric material is introduced, as it reduces the electric field between the plates.

According to Ohm's Law, if the voltage increases while resistance remains constant, the current will also increase.

According to Ohm's Law, if the voltage (V) increases while resistance (R) remains constant, the current (I) will increase.

In a series circuit, if one component fails, the current stops flowing through the entire circuit.

Density increases when a material is compressed, as mass remains constant while volume decreases.

According to the second law of thermodynamics, the entropy of an isolated system always increases over time.

When a balanced equation is multiplied by a factor, the equilibrium constant is raised to the power of that factor.

A catalyst speeds up both the forward and reverse reactions equally, thus it does not change the position of equilibrium or the value of Kc.

As the object moves closer to a concave mirror, the image distance increases, and the image becomes larger and more distant.

When the object is placed beyond twice the focal length, the image formed is real, inverted, and smaller than the object.

The induced EMF doubles if the speed of the magnet moving through the coil is doubled.

The induced emf increases when the rate of change of magnetic flux increases, according to Faraday's Law.

When a magnet is cut into two pieces, each piece becomes a magnet with its own north and south poles, thus maintaining the magnetic field lines.

The magnetic field strength inside a solenoid is directly proportional to the current flowing through it.

When the current in a solenoid is reversed, the direction of the magnetic field also reverses.

Reversing the direction of current in a wire reverses the direction of the magnetic field around it.

The magnetic field around a long straight conductor decreases with distance. Specifically, it is inversely proportional to the distance from the conductor.

As the temperature increases, the kinetic energy of gas particles increases, causing them to move faster.

When a solid is heated, its particles gain energy and vibrate more vigorously, potentially leading to a change in state.

When a solid is heated, its particles gain energy and vibrate faster, which can lead to a change in state.

According to Boyle's Law, if the volume decreases and temperature is constant, the pressure increases.

The resistance of a semiconductor decreases when it is illuminated due to the generation of electron-hole pairs.

During an isothermal expansion, the temperature of the gas remains constant as the system absorbs heat to do work.

According to Charles's Law, the volume of a gas increases with an increase in temperature at constant pressure.

Insulin is the hormone produced by the pancreas that lowers blood glucose levels by facilitating the uptake of glucose into cells.