What is the horizontal asymptote of \[f(x) = \frac{3x^2 + 5}{x^2 – 4x + 7}?\]

What is the equation of the parabola with focus \(F(0,5)\) and directrix \(y=-5\)?

Which are zeroes of the polynomial shown?  The x-axis spans from negative 10 to 10, and the y-axis spans from below negative 100 to above 200. The x-axis has a scale of 5 in increments of 1 and the y-axis has a scale of 100 in increments of 20. The red curve represents a polynomial function with four turning points. It starts from the bottom left of the third quadrant and rises sharply to a local maximum near (negative 3.5, 200). It then decreases to a local minimum to a coordinate with x values roughly halfway between 0 and negative 1 and y value halfway between negative 140 and negative 150. It rises again to another local maximum around (2, 70), decreases to another local minimum near (4, negative 150), and then increases steeply toward positive infinity.

For \( f(x) = \vert x + 3 \vert \) and \( g(x) = x – 1 \), what is the approximate solution for the system of equations? 

Which of the following is a correct factorization of \( x^2 – 5x + 6 \)?

A geometric series has \(a_1 = 4\), \(r = 5\), and \(n = 6\). Find \(S_6\).

How can the polynomial \( x^4 + 4x^2 + 4 \) be factored to identify its roots?

Subtract the rational expressions: \[\frac{x}{x + 3} – \frac{2}{x – 3}\]

According to the Rational Roots Theorem, what are the possible roots of \( P(x) = 3x^3 + x^2 – 4x – 2 \)?

Which is an alternate form of  \( x^4 – y^4 \), creating a polynomial identity?