Identifying Standard Form Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean for a polynomial to be in standard form?

Back

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

Front

Write the expression in standard form: -1 + 3x

Back

3x - 1

Front

Which polynomial is written in standard form? -3x + 8x² + 9x³ - 11

Back

9x³ + 8x² - 3x - 11

Front

Write the expression in standard form: x³ - 6x⁵

Back

-6x⁵ + x³

Front

Which polynomial is written in standard form? 8x - 11x²

Back

-11x² + 8x

Front

Write the expression in standard form: 7n² - 10n³ + 2n⁴

Back

2n⁴ - 10n³ + 7n²

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor that multiplies a variable in a term of a polynomial.

Front

Identify the leading term in the polynomial: 4x³ + 7x - 9.

Back

The leading term is 4x³.