Algebra 1 Finals Review Day 1

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the degree of the polynomial -3n^4 - 3n^2 - 4?

Back

The degree of the polynomial is 4, which is the highest power of the variable n.

Front

Factor the expression: x^2 - 6x + 8

Back

(x - 2)(x - 4)

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: x^2 - 16

Back

(x + 4)(x - 4)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Factor out the GCF from: 3x^3 + 9x

Back

3x(x^2 + 3)

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (y) also increase.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.