PreCalculus Fall Semester Exam 2024

Front

Use synthetic division to find the remainder when f(x)=3x³+2x²−x+5 is divided by x−1.

Back

The remainder is 9.

Front

Identify the degree of the polynomial and the sign of the leading coefficient from the graph.

Back

Leading Coefficient Positive, Degree - Odd.

Front

Which polynomial will fall to the left and rise to the right?

Back

f(x)=3x³−x+7.

Front

What is the end behavior of the polynomial function f(x)=-3x⁴+2x³−5?

Back

Falls to the left and rises to the right.

Front

Simplify the complex number: \(\frac{5+2i}{2-i}\).

Back

\(\frac{11+4i}{5}\).

Front

What is synthetic division?

Back

A method used to divide a polynomial by a binomial of the form (x - c).

Front

Define the degree of a polynomial.

Back

The highest power of the variable in the polynomial.

Front

What does the leading coefficient of a polynomial indicate?

Back

It determines the direction of the graph as x approaches infinity.

Front

Explain the end behavior of polynomials.

Back

The behavior of the graph as x approaches positive or negative infinity.

Front

What is the significance of the sign of the leading coefficient?

Back

It indicates whether the graph rises or falls on the ends.