PreCalculus Sem 1 Review

Front

Completely factor: x^3 + 64

Back

( x + 4 ) ( x^2 - 4x + 16)

Front

Solve by using Rational Zero Theorem: x^3 + 3x^2 - 6x - 8 = 0

Back

-4, -1, 2

Front

What is the end behavior of the function y=x(x-2)^2(x+5)^3?

Back

Both sides rise

Front

Find the slope of the line that passes through the points (2, 1) and (4, 5)

Back

2

Front

In the equation (x-3)^2+(y-2)^2=16, what is the center of the circle?

Back

(3,2)

Front

What is the formula for the slope of a line?

Back

m = (y2 - y1) / (x2 - x1)

Front

Define a polynomial function.

Back

A function that is represented by a polynomial equation, which consists of variables raised to non-negative integer powers.

Front

What is the Rational Root Theorem?

Back

It states that any rational solution of a polynomial equation can be expressed as p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).