Find the Values of A, B, and C for Which $\left( 4 x ^ { 2 } + 3 x + 4 \right) \left( x ^ { 2 } + 5 x - 4 \right)$

question 520

Multiple Choice

Find the values of a, b, and c for which the quadratic equation ax2 + bx + c = 0 has the given numbers as solutions. Then
use those values to write a quadratic equation.
- $\left( 4 x ^ { 2 } + 3 x + 4 \right) \left( x ^ { 2 } + 5 x - 4 \right)$

• A) \(4 x ^ { 4 } + 20 x ^ { 3 } + 3 x ^ { 2 } + 8 x - 16\)
• B) \(4 x ^ { 4 } + 20 x ^ { 3 } - 1 x ^ { 2 } + 8 x - 16\)
• C) \(4 x ^ { 4 } + 23 x ^ { 3 } - 1 x ^ { 2 } + 8 x - 16\)
• D) \(4 x ^ { 4 } + 23 x ^ { 3 } + 3 x ^ { 2 } + 8 x - 16\)

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Definitions:

Marginal Land

Land that produces little yield or economic value due to poor quality, location, or other factors, making it the least productive for agricultural use.

Rents

Payments made periodically by a tenant to a landlord in exchange for the use of land, a building, or other property.

Supply of Loanable Funds

The total amount of funds that lenders are willing to loan at a given interest rate in an economy.

Elastic

Describes a situation in economics where the quantity demanded or supplied of a good changes significantly in response to changes in its price.