# Ariana Alvarez

Mitchell Hamline School of Law

Precalculus

Precalculus teacher | Experienced educator in USA

I hold a degree in Precalculus from Mitchell Hamline School of Law, blending my passion for mathematics with legal studies. My journey in education has equipped me with a deep understanding of precalculus concepts, which I love sharing with students. With a commitment to clarity and practicality, I aim to make complex math accessible and enjoyable. Whether it's solving equations or exploring functions, I'm here to guide students through the world of precalculus with patience and enthusiasm. Let's embark on this mathematical journey together!

## Questions

- What is the inverse of the function #f(x)=19/x^3#?
- How do you solve #(2x+4)(x-3)=0#?
- How do you find the real zeros of #y=3/4(x-2/3)^3-16/9#?
- What are the zeros of the trinomial #4x^2-17x+4#?
- How do you find all zeros of #f(x)=49-x^2#?
- What are all the possible rational zeros for #f(x)=x^3+13x^2+38x+24# and how do you find all zeros?
- What are all the possible rational zeros for #f(x)=3x^3+5x^2-11x+3# and how do you find all zeros?
- What are all the possible rational zeros for #f(x)=x^3+3x^2+x-2# and how do you find all zeros?
- What is a cubic polynomial function in standard form with zeros 5, 2, and -5?
- How do you find the zeros of the polynomial function #f(x) = x^3 + x^2 -42x#?
- What are all the possible rational zeros for #f(x)=10x^3-15x^2-16x+12# and how do you find all zeros?
- How do you long divide #(x^[4] - 16)/( x + 2)#?
- What are all the possible rational zeros for #y=2x^5-x^4-26x^3+13x^2+72x-36# and how do you find all zeros?
- How do you long divide # (x^3 +3x^2+3x+2) / (x-1)#?
- How do you long divide #(5x^4-2x^3- 7x^2 -39) / (x^2 + 2x- 4)#?
- How do you find the number of possible positive real zeros and negative zeros then determine the rational zeros given #f(x)=x^3+3x^2-10x-24#?
- When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2, how do you determine the remainder when the polynomial is divided by (x+2)(x-1)?
- How do you evaluate #log_25 5#?
- How do you long divide #2n^3 - 14n + 12 div n + 3#?
- How do you use the Rational Zeros theorem to make a list of all possible rational zeros, and use the Descarte's rule of signs to list the possible positive/negative zeros of #f(x)=x^4+2x^3-12x^2-40x-32#?