Polynomials, Degree and Leading Coefficient – Quick Check

Front

What is the highest exponent of a variable in a polynomial called?

Back

The highest exponent of a variable in a polynomial is called the degree.

Front

How do you express a polynomial in standard form?

Back

To express a polynomial in standard form, arrange the terms in descending order of their exponents.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the number in front of the highest exponent of a variable in standard form.

Front

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

Back

The degree of the polynomial 5x^2 + 3x + 2 is 2.

Front

What is the leading coefficient of the polynomial 4x^3 - 2x + 7?

Back

The leading coefficient of the polynomial 4x^3 - 2x + 7 is 4.

Front

What is the standard form of the polynomial x^2 + 3x - 5?

Back

The standard form of the polynomial x^2 + 3x - 5 is already in standard form.

Front

If a polynomial has a degree of 4, what is the maximum number of roots it can have?

Back

A polynomial with a degree of 4 can have a maximum of 4 roots.

Front

What happens to the degree of a polynomial when you add a term with a higher exponent?

Back

When you add a term with a higher exponent, the degree of the polynomial increases to that higher exponent.

Front

Can a polynomial have a negative degree?

Back

No, a polynomial cannot have a negative degree; the degree must be a non-negative integer.

Front

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

Back

The degree of the polynomial 2x^5 - 3x^3 + x is 5.