ALGEBRA2 FINAL EXAM REVIEW

Front

What is the result of multiplying and simplifying \( \frac{4(x+3)}{(x+2)} \) and \( \frac{(x+2)}{4(x+1)} \)?

Back

The result is \( \frac{(x+2)}{4(x+1)} \).

Front

What is the leading coefficient and degree of the polynomial \( 2x^4 + 3x^2 + 1 \)?

Back

The leading coefficient is 2, and the degree is 4.

Front

What is the value of \( i^2 \)?

Back

The value of \( i^2 \) is -1.

Front

What is the best fitting quadratic model for the data given: \( 1.2x^2 + 13x + 504.3 \)?

Back

The best fitting quadratic model is \( 1.2x^2 + 13x + 504.3 \).

Front

What is the curve of best fit for the equation \( y = 0.95x^2 - 2.08x - 0.75 \)?

Back

The curve of best fit is \( y = 0.95x^2 - 2.08x - 0.75 \).

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form \( f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 \), where \( a_n, a_{n-1}, ..., a_0 \) are constants and \( n \) is a non-negative integer.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is a leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does it mean for a function to be quadratic?

Back

A function is quadratic if it can be expressed in the form \( f(x) = ax^2 + bx + c \), where \( a \neq 0 \).

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function \( f(x) = ax^2 + bx + c \) can be found using the formula \( x = -\frac{b}{2a} \).