Standard Form of a Polynomial

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees, from highest to lowest.

Front

Is the expression 6w^2 - 9w^3 in standard form?

Back

No, it is not in standard form because the term with the highest degree (9w^3) should be first.

Front

True or False: The polynomial 7x^3 - 11x^2 + 8x - 5 is in standard form.

Back

True.

Front

Which polynomial is in standard form? -3x + 8x^2 + 9x^3 - 11, 9x^3 + 8x^2 - 3x - 11, 8x^2 + 9x^3 - 11 - 3x, -11 - 3x + 8x^2 + 9x^3

Back

9x^3 + 8x^2 - 3x - 11.

Front

Put the polynomial -3x + 8x^2 - 11 + 9x^3 in standard form.

Back

9x^3 + 8x^2 - 3x - 11.

Front

Rewrite the polynomial -5 + 4m in standard form.

Back

4m - 5.

Front

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

Back

The degree is 3, which is the highest exponent of the variable.

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What does it mean for a polynomial to be in descending order?

Back

Descending order means that the terms are arranged from the highest degree to the lowest degree.

Front

Identify the leading coefficient in the polynomial 5x^4 - 3x^3 + 2x - 1.

Back

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