Math III EOC Mixed Review - Warm Up

Front

What is the value of 7x^3 - 36x^2 - 42x + 30 when x = 6?

Back

64

Front

What is the remainder when the polynomial p(x) = 7x^3 - 36x^2 - 42x + 30 is divided by x - 6?

Back

-6

Front

What is the range of the function if the output values are between 0 and 8?

Back

[0, 8)

Front

Evaluate the piecewise function at x = 1. If f(x) = {2 for x < 0, -2 for 0 ≤ x < 2, 18 for x ≥ 2}, what is f(1)?

Back

-2

Front

What is the remainder when 5x^3 - 14x^2 - 8x + 5 is divided by x - 3?

Back

-10

Front

Define the term 'polynomial'.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 5x^3 - 14x^2 - 8x + 5?

Back

3

Front

What does it mean for a function to be piecewise?

Back

A piecewise function is defined by different expressions based on the input value.

Front

How do you find the remainder of a polynomial when divided by a linear factor?

Back

Use the Remainder Theorem: substitute the root of the linear factor into the polynomial.

Front

What is the significance of the range in a function?

Back

The range is the set of all possible output values of a function.