Polynomials Review 2: +, -, x, gcf factoring

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

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

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

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

How do you factor a polynomial?

Back

To factor a polynomial, find the GCF of the terms and express the polynomial as a product of the GCF and another polynomial.

Front

What is the result of (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)?

Back

-2x^2 + 11x - 4

Front

What is the result of (3 - 2x + 2x^2) - (4x - 5 + 3x^2)?

Back

-x^2 - 6x + 8

Front

What is the result of (3x + 2)(x + 1)?

Back

3x^2 + 5x + 2

Front

What is the sum of (3x^2 + 2x + 1) + (2x^2 - 4x - 5) + (3x - 1)?

Back

5x^2 + x - 5