Math 3 EOC - Numbers/Quantity/Algebra

Front

What does the degree of a polynomial determine?

Back

The maximum number of x-intercepts.

Front

Find the real zeros of the function f(x) = 2x^3 - 19x^2 + 38x + 24 given that x-4 is a factor.

Back

x = 4, -1/2, 6.

Front

Is (x-3) a factor of (x^3 - 3x^2 + 2x + 2)?

Back

No.

Front

How many zeros does the function f(x) = x^5 - 3x^3 + x have?

Back

5.

Front

What is the remainder when (2x^2 + 10) is divided by (x - 1)?

Back

12.

Front

Define a polynomial function.

Back

A function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

What is an x-intercept?

Back

The point where a graph intersects the x-axis, meaning f(x) = 0.

Front

What is a turning point in a polynomial function?

Back

A point where the function changes direction from increasing to decreasing or vice versa.

Front

Explain the end behavior of a polynomial function.

Back

The behavior of the graph as x approaches positive or negative infinity, determined by the leading term.

Front

What is synthetic division?

Back

A simplified method of dividing a polynomial by a linear binomial.