Algebra 3 Semester 1 Review

Front

What is the order of the polynomial coefficients for the expression (3x - 4x^3 + 6x^4 + 1) / (x + 3)?

Back

6, -4, 0, 3, 1

Front

What is the result of (2x^3 + 5x^2 + 9) ÷ (x + 3)?

Back

2x^2 - x + 3

Front

What is the solution of the system represented by the point (1, -4)?

Back

(1, -4)

Front

Solve the equation: 12 - 6y = 24

Back

y = -2

Front

Simplify the radical: 5√52

Back

52√5

Front

What is the degree of the polynomial 6x^4 - 4x^3 + 3x + 1?

Back

4

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

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.