Identify Polynomials

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression that involves a sum of powers in one or more variables multiplied by coefficients. The powers must be non-negative integers.

Front

Is h(x)=3x a polynomial function?

Back

Yes, it is a polynomial function.

Front

Is f(x)=10x^7 −9+6x^y -10x a polynomial function?

Back

No, it is not a polynomial function because it contains a term with a variable in the exponent (y).

Front

What is the degree of the polynomial f(x)=4x^2-2+1/2x^4?

Back

The degree is 4, which is the highest power of x in the polynomial.

Front

If the degree of a polynomial is 3, what type of polynomial is it?

Back

It is a cubic polynomial.

Front

If the degree of a polynomial is 4, what type of polynomial is it?

Back

It is a quartic polynomial.

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.

Front

What is the leading coefficient of the polynomial f(x)=5x^3 + 2x^2 - x + 7?

Back

The leading coefficient is 5, which is the coefficient of the term with the highest degree.

Front

What does it mean for a polynomial to be in one variable?

Back

A polynomial in one variable contains only one variable, such as x, and can be expressed in the form a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term, e.g., f(x) = 5.