Polynomial 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 does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the process of multiplying polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to combine each term in the first polynomial with each term in the second.

Front

What is the result of (4x + 1)(5x - 2)?

Back

20x² - 3x - 2.

Front

How do you factor the polynomial x² - 5x + 3?

Back

This polynomial is prime; it cannot be factored into simpler polynomials.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear divisor, typically used when the divisor is in the form (x - c).

Front

What is the quotient of (2x³ - 5x² - 3x + 7) ÷ (x - 2)?

Back

2x² - x - 5.

Front

How do you factor n² + 16n + 63?

Back

The factors are (n + 7)(n + 9).

Front

What is the result of dividing (9x² + 6x) by 3x?

Back

3x + 2.