Algebra 2 Semester 1 Review

Front

What is the result of dividing 2x^3 - 5x^2 + 3x + 7 by x - 2?

Back

2x^2 - x + 1 + 9/(x-2)

Front

What is the result of dividing 2x^3 + 7x^2 - 6x - 8 by x + 4?

Back

2x^2 - x - 2

Front

Factor the expression x^2 - 14x + 24.

Back

(x - 12)(x - 2)

Front

Factor the expression x^2 + 12x + 20.

Back

(x + 10)(x + 2)

Front

What is the factorization of x^2 + 81?

Back

Prime

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 2x^3 - 5x^2 + 3x + 7?

Back

The degree is 3, which is the highest exponent of the variable.

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 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 synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.