Polynomials test rev activty

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x + 1 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x, the degree is 3.

Front

What is a leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in the polynomial 5x^4 + 3x^2 - 2, the leading coefficient is 5.

Front

How do you simplify the expression (4n^2 - 8n + 4) - (8n^2 + 4n + 1)?

Back

The simplified expression is -4n^2 - 12n + 3.

Front

What does it mean for (x-1) to be a factor of a polynomial?

Back

If (x-1) is a factor of a polynomial, it means that when the polynomial is divided by (x-1), the remainder is zero.

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have a highest power that is an even number, while odd degree polynomials have a highest power that is an odd number. Even degree polynomials have symmetric graphs, while odd degree polynomials have graphs that are not symmetric.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3. It can be expressed in the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is a quartic polynomial?

Back

A quartic polynomial is a polynomial of degree 4. It can be expressed in the form ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants and a ≠ 0.

Front

What is a trinomial?

Back

A trinomial is a polynomial that has three terms. For example, 2x^2 + 3x + 1 is a trinomial.

Front

What is a binomial?

Back

A binomial is a polynomial that has two terms. For example, 3x + 5 is a binomial.