# Tutor profile: Chanelle D.

## Questions

### Subject: Pre-Calculus

Factor x^8 - 5x^4 + 4

Factors of 4 that sum to 5 are 4 and 1. This factors into (x^4 - 4) (x^4 - 1). This further factors into (x^2 + 2) (x^2 -2) and (x^2 + 1) (x^2 -1) . This factors further into (x^2 + 2) (x+1)(x-1) (x^2 + 1) (x+1)(x-1).

### Subject: Geometry

Given a 30-60-90 triangle with a hyptouse of 4, what would the length of the other two sides be?

The rule for 30-60-90 triangle is x - x sqrt(3) - 2x. Knowing that the hypotenuse is 4, the smaller side would then be 2 as the relationship is 1/2. The middle side length would be 2sqrt(3).

### Subject: Algebra

Solve the following equation: 3x + 5(x + 2) = 32.

Distributing the 5 through gives us 3x + 5x + 10 = 32. Simplifying gives me 8x + 10 = 32. Subtracting 10, you get 8x = 22. Then divide by 8, gives the solution x = 22/8.

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