A cubic function can have at most three real roots, and it is guaranteed to have at least one real root due to the Intermediate Value Theorem.

A polynomial of odd degree must have at least one real root due to the Intermediate Value Theorem.

The polynomial can be factored as (x + 2)^2, indicating it has one real root with multiplicity 2.

The polynomial can be factored as (x + 2)(x + 2), indicating it has one real root with multiplicity 2.

Shear modulus (G) measures the material's response to shear stress, indicating how it deforms under such stress.

Viruses are acellular and cannot reproduce independently; they require a host cell.

A satellite in a low Earth orbit has a very high orbital speed due to the proximity to the Earth and the gravitational pull.

All the given identities are true for all angles A.

In an endothermic reaction, heat is absorbed, resulting in a positive ΔH.

log_a(b) + log_a(c) = log_a(bc) by the product property of logarithms.

log_a(bc) = log_a(b) + log_a(c) by the product rule of logarithms.

Using the property of exponents, we have 2^(x+1 - (x-1)) = 2^(x+1-x+1) = 2^2.

Since 8 can be expressed as 2^3, we have 2^(x+3) = 2^3, thus x + 3 = 3, leading to x = 0.

Since 16 can be expressed as 4^2, we have 4^(x+1) = 4^2, leading to x + 1 = 2, thus x = 1.

(a + b)³ = a³ + 3a²b + 3ab² + b³.

(x + y)² = x² + 2xy + y².

Vanillin is the primary component of the extract of the vanilla bean and is widely used as a flavoring agent in food.

Doping is the process used to create a p-n junction by adding impurities to a semiconductor.

Uranium-238 is commonly used as fuel in nuclear reactors due to its ability to undergo fission.

The kingdom Plantae includes multicellular organisms that are autotrophic.

The kingdom Plantae includes organisms that are primarily autotrophic, meaning they produce their own food through photosynthesis.

The kingdom Protista includes organisms that can be both autotrophic and heterotrophic.

The kingdom Protista includes both unicellular and multicellular organisms.

The kingdom Protista includes unicellular organisms.

The Kushana Empire was known for its extensive trade routes that connected India to the Mediterranean region.

Fjords are deep, narrow inlets of the sea between high cliffs or steep slopes, formed by glacial activity.

A moraine is a landform created by the accumulation of debris deposited by glaciers.

A delta is formed at the mouth of a river where it meets a body of water, and sediment is deposited.

Neodymium is used in making strong permanent magnets due to its magnetic properties.

The Outer Core is the only layer that is liquid, composed mainly of molten iron and nickel.