# Elijah Allen

Monmouth University

Precalculus

Precalculus teacher | Experienced educator in USA

I am a passionate educator specializing in Precalculus, equipped with a degree from Monmouth University. Committed to fostering a deep understanding of mathematical concepts, I bring enthusiasm and expertise to every tutoring session. My goal is to empower students to navigate the complexities of Precalculus with confidence. Let's embark on a journey of mathematical discovery together, where every question is an opportunity for growth and understanding.

## Questions

- How do you find the roots of #x^3+x^2-7x+2=0#?
- How do you use the remainder theorem and synthetic division to find the remainder when #(x^4-x^3-5x^2-x-6) div (x-3)#?
- How do you use the Remainder Theorem to find P(c) #P(x)=-x^3+3x^2+5x+30# , c=8?
- How do you use the remainder theorem and the factor theorem to determine whether (c+5) is a factor of #(c^4+7c^3+6c^2-18c+10)#?
- What is the remainder when #(2x^3 – 8x^2 + 6x – 6) ÷ (x – 4)#?
- How do you use the remainder theorem to find which if the following is not a factor of the polynomial #x^3-5x^2-9x+45 div x-3#?
- What are the possible integral zeros of #P(x)=x^3+3x^2-6x-8#?
- How do you find the zeros of #y=x^3-2x^2-11x+12#?
- How do you use the factor theorem to determine whether x-5 is a factor of #f(x) = 2x^3 +5x^2 -14x -72#?
- How do you find k such that #f(x) = x^4 - kx^3 + kx^2 + 1# has the factor x + 2?
- How do you factor given that #f(-2)=0# and #f(x)=9x^3+10x^2-17x-2#?
- What is the remainder when the function #f(x)=x^3-4x^2+12# is divided by (x+2)?
- How do you show that x+1 is a factor of #x^4+2x^3-2x^2-6x-3#?
- How do you determine whether x+2 is a factor of the polynomial #5x^2+2x+6#?
- How do you factor completely #t^3+t^2-22t-40#?
- How do I find the quotient and remainder using synthetic division?
- How do you use synthetic substitution to find the real zeroes for #P(x)=x^4-6x^3+11x^2-8x+2#?
- How do you use synthetic substitution to find g(-5) and g(4) for #g(x)= 9x^4 - 8x^2 + 9x - 5#?
- How do you divide using synthetic division: #(y^4 - 4y^2 + y + 4)/(y + 2)#?
- How do you use synthetic division to divide #12x^3 -19x -12# by #2x-3#?