Algebra 2 Final Exam - Fall 24

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi.

Front

Find the conjugate of the complex number -2 - 5i.

Back

-2 + 5i

Front

What is the process to simplify an expression involving polynomials?

Back

Combine like terms by adding or subtracting coefficients of the same degree.

Front

Simplify the expression: (p^3 - 6p^4 + 1) - (8p^4 - 8p^3 + 7).

Back

-14p^4 + 9p^3 - 6

Front

What is polynomial long division?

Back

A method used to divide a polynomial by another polynomial of the same or lower degree.

Front

Divide: 2x^3 + 3x + (7/x-4).

Back

2x^2 + 3x + 8 + (7/x-4)

Front

What is an explicit formula for a sequence?

Back

An explicit formula defines the nth term of a sequence as a function of n.

Front

Write the explicit formula for the sequence: 9, 5, 1, -3, ...

Back

a_n = 9 - 4(n - 1) for n ≥ 1.

Front

What does it mean to solve a quadratic equation?

Back

To find the values of x that make the equation equal to zero.

Front

Solve: (x + 9)(x - 7) = 0.

Back

x = -9 and x = 7.