Algebra 2 Final Exam -  Fall 24

Algebra 2 Final Exam - Fall 24

Assessment

Flashcard

Mathematics

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms. For example, a polynomial in standard form is expressed as: 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 and n is a non-negative integer.

2.

FLASHCARD QUESTION

Front

How do you simplify the square root of a negative number?

Back

To simplify the square root of a negative number, use the imaginary unit 'i', where i = √(-1). For example, √(-100) = √(100) * √(-1) = 10i.

3.

FLASHCARD QUESTION

Front

What is a minimum value in the context of a quadratic function?

Back

The minimum value of a quadratic function occurs at its vertex when the parabola opens upwards. It is the lowest point on the graph of the function.

4.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, express the equation in the form (x - p)(x - q) = 0, where p and q are the roots. Then, set each factor equal to zero and solve for x.

5.

FLASHCARD QUESTION

Front

What is the result of multiplying two complex numbers (5+i)(2+5i)?

Back

The result of multiplying (5+i)(2+5i) is 5*2 + 5*5i + 2i + 5i^2 = 10 + 25i + 2i - 5 = 5 + 27i.

6.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 9x^3 + 8x^2 - 3x - 11, the degree is 3.

7.

FLASHCARD QUESTION

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers (e.g., 1/2, 3, -4), while an irrational number cannot be expressed as a simple fraction (e.g., √2, π).

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