Simplify the product: \[\frac{x^2 – 4x + 4}{x^2 – 9} \cdot \frac{x – 3}{x – 2}\]

What is the end behavior of the polynomial function? The x-axis spans from negative 4 to 4, and the y-axis spans from below negative 10 to above 10. The x-axis has a scale of 2 in increments of 0.5 and the y-axis has a scale of 10 in increments of 2. The orange polynomial function has an inflection point around the origin (0,0), with a local maximum at approximately (negative 0.5, 1) and a local minimum near (1.25, negative 2). The function decreases from negative infinity, rises to the local maximum, falls to the local minimum, and then increases towards positive infinity, extending out of view at both ends. 

Which binomials are factors of the polynomial shown?  The x-axis spans from negative 4 to beyond 2, and the y-axis spans from below negative 5 to 10. The x-axis has a scale of 2 in increments of 0.5 and the y-axis has a scale of 5 in increments of 1. The green polynomial function has a local minimum at (negative 2, 0) and a local maximum at (0, 8). The function decreases from the top left of the second quadrant, reaching its minimum, then increases to its maximum on the y-axis before decreasing again, passing through the point (1, 0) and continuing into the fourth quadrant. The curve continues to extend out of view in both directions.

What are the roots of the parabola shown? The x-axis spans from below negative 5 to above 5, and the y-axis spans from below negative10 to 20. The x-axis has a scale of 5 in increments of 1 and the y-axis has a scale of 10 in increments of 2. The green parabola opens upward, with its vertex at approximately (0, negative 9). The curve is symmetric around the y-axis. It crosses the x-axis at (negative 3, 0) and (3, 0), extending out of view at both ends. 

What is the equation of the parabola with vertex \((-2,-1)\) and focus \((-2,-5)\)?

Which of the following points represents a valid solution to the constraints represented by the inequalities shown in the graph? “The x-axis and the y-axis span from below negative 5 to above 10, with a scale of 5 in increments of 1. A solid blue parabola opens upward with its vertex at (2, negative 1), enclosing an unshaded parabolic region. The parabola passes through the coordinates (negative 1, 8) and (5, 8), extending upward. The area around the parabola is shaded in light blue. A dashed orange diagonal line with a positive slope has an x-intercept of (3, 0) and y-intercept of (0, negative 6). The line intersects the parabola at (3, 0), while the area above the line is shaded orange. This orange-shaded area overlaps the blue area as well as the entire region inside the parabola. The overlap on the blue area appears brown, while over the unshaded parabolic region, it appears orange. The overlap spans about half of the first quadrant, the entire second quadrant, most of the third quadrant, and a small portion of the fourth quadrant. “

What is the degree of the polynomial \( f(x) = 4x^5 – 3x^3 + 2x – 7 \)?

Find the sum of the infinite geometric series 7 – 3.5 + 1.75 – 0.875 + …

A sequence starts with \(a_1 = 360\) and decreases by 25% each step.   Which recursive rule models this sequence?

Which complex number is the conjugate you would use to simplify \( \frac{4 + 3i}{2 – i} \)?