Polynomials

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 a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, which can be expressed in the form ax + b, where a and b are constants.

Front

Factor the polynomial: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

What is the degree of the polynomial 5x⁵ + 3x² - 2?

Back

The degree is 5, which is the highest exponent of the variable.

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

What is the result of (3x² + 4x - 2) - (5x + 7)?

Back

3x² - x - 9

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax² + bx + c, where a, b, and c are constants.

Front

Factor completely: x² - 17x + 72

Back

(x - 9)(x - 8)

Front

What is the leading coefficient of the polynomial 4x³ - 2x² + 5?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.