Polynomials Review

Front

What is a polynomial?

Back

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

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 leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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.

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method) to multiply the first terms, outer terms, inner terms, and last terms.

Front

What is the result of (x + 3)(x + 7)?

Back

x² + 10x + 21

Front

What is the degree of the polynomial 2b⁸c²?

Back

10

Front

Is c + 8c³ - 3c⁷ in standard form?

Back

No, it should be written as -3c⁷ + 8c³ + c.

Front

What is the leading coefficient of the polynomial 9x⁵ + 2x⁴ - x³ + 9x² - 2?

Back

9

Front

What is the result of (x - 3)(x² + 2x + 7)?

Back

x³ - x² + x - 21