Challenge (NOT ON FLASHCARD) Big Ideas Algebra I

Front

What is a polynomial in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

How do you subtract polynomials?

Back

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

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 quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms from both polynomials.

Front

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

Back

The result is 4x^3 + 1x^2 - 3x + 1.

Front

What is the product of (4x + 1) and (5x - 2)?

Back

The product is 20x^2 - 3x - 2.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the leading coefficient of a polynomial?

Back

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

Front

How do you classify polynomials by their degree?

Back

Polynomials can be classified as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), etc.