Using the property of exponents, we have 5^(2 + 3 - 4) = 5^1 = 5.

log_2(8) = 3 and log_2(4) = 2, thus log_2(8) + log_2(4) = 3 + 2 = 5.

Substituting x = 1 into P(x) gives P(1) = 1^3 - 3(1^2) + 4 = 2.

The coefficient is C(8,5) * (3^5) * (-2)^3 = 56 * 243 * (-8) = -6720.

Substituting x = -1 gives P(-1) = 5(-1)^2 - 3(-1) + 7 = 5 + 3 + 7 = 15.

To solve for x, add 9 to both sides and then divide by 3: 3x = 9, thus x = 3.

Volume = πr²h = 3.14 * (3)² * 10 = 3.14 * 9 * 10 = 282.6 cm³.

1000 divided by 6 gives a remainder of 4.

Since 6 mod 3 = 0, the remainder when the number is divided by 3 is also 0.

The hexadecimal system is most efficient for representing large binary numbers due to its compactness.

The binary system is primarily used in digital electronics due to its two-state nature.

The author acknowledges the importance of education but also points out that it is not the only solution to inequalities.

Combinatorics is specifically focused on counting, arrangement, and combination of objects, making it a key area in modern mathematics.

In a limited partnership, only one partner has unlimited liability while others have limited liability.

In a positional numeral system, the position of a digit determines its value, such as in decimal or binary systems.

A regular polygon is defined as a polygon where all sides and angles are equal, making option 2 the correct description.

The author presents digital sum in an enthusiastic manner, providing informative insights into its significance.

The Binomial Theorem provides a formula for expanding expressions of the form (a + b)^n.

Since the leading coefficient is negative and the degree is even, both ends of the graph will go to negative infinity.

An algorithm is defined as a step-by-step procedure for calculations, widely used in mathematics and computer science.

A limited partnership consists of at least one general partner who has unlimited liability and one or more limited partners who have limited liability.

Partnership by estoppel occurs when a person represents themselves as a partner, leading others to believe they are part of the partnership, thus creating legal recognition.

A silent partner invests capital but does not engage in the daily operations of the business.

The Fibonacci sequence is significant because it appears in various natural phenomena and patterns, illustrating the connection between mathematics and nature.

The conclusion emphasizes that digital sum is fundamental and has numerous applications across various domains.

The passage indicates that access to quality education is a significant factor in reducing inequality.

The passage suggests that education plays a crucial role in mitigating social inequalities, highlighting its importance.

Dependent systems have infinitely many solutions as they represent the same line.

A polynomial that includes a variable in the denominator is not a polynomial function.

Since the leading coefficient is negative and the degree is even, both ends of the polynomial go down.