Math III EOC Review #2

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to whole number powers and multiplied by coefficients. For example, y = x^3 + 4x^2 - 11x + k is a polynomial.

Front

What does it mean for (x + 5) to be a factor of a polynomial?

Back

If (x + 5) is a factor of a polynomial, it means that when the polynomial is divided by (x + 5), the remainder is zero.

Front

How do you find another factor of a polynomial when one factor is known?

Back

You can use polynomial long division or synthetic division to divide the polynomial by the known factor to find the other factors.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the range of the function f(x) = -|x + 3| + 2?

Back

The range is determined by the maximum and minimum values of the function. For f(x) = -|x + 3| + 2, the maximum value is 2, so the range is y ≤ 2.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane. It is used to define trigonometric functions.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the significance of moving counterclockwise on the unit circle?

Back

Moving counterclockwise on the unit circle corresponds to positive angle measures, while moving clockwise corresponds to negative angle measures.

Front

What is the result of moving 300° counterclockwise from (0, -1) on the unit circle?

Back

Starting at (0, -1) and moving 300° counterclockwise lands you at (cos(210°), sin(210°)), which corresponds to the angle 210°.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.