Mathémon Hard Questions

Factoring

500

Factor the following:

9x⁴ - 25y⁴

(3x² + 5y²)(3x² - 5y²)

500

Factor the following

4x⁴ - 25y²

(2x² + 5y)(2x² - 5y)

Key Features of Rational Functions

500

f(x) = (x³ - 4x² + 5x - 2)/ (x² - 3x + 2)

Domain: x = 1, x = 2

Range: ∞ 

500

Solve

2x² - 25.8x + 89.7

NO REAL SOLUTIONS

Solving Radical/Rational Equations

500

Solve for the following

√(x- 4) - 12 = -10

x = 8

500

Solve for the following 

√(4x+68) - 9 = 1

x = -1

Exponential Functions in Context

500

An element with a mass of 570 grams decays by 15.2% per minute. How much of the element is remaining after 16 minutes, to the nearest 100th of a gram?

89.07

500

7400 dollars is placed in an account with an annual interest rate of 8%. There is an annual fee of $100. How much will be in the account after 19 years, to the nearest cent?

$26,435.60