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 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 binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree three, which can be expressed in the form ax³ + bx² + cx + d.

Front

How do you simplify the expression 2x(-2x - 3)?

Back

To simplify, distribute 2x: 2x * -2x = -4x² and 2x * -3 = -6x, resulting in -4x² - 6x.

Front

What is the constant term in a polynomial?

Back

The constant term is the term in a polynomial that does not contain any variables, representing the value when all variables are set to zero.

Front

What is the area of a rectangle represented by the polynomial 2x² - 9x - 18?

Back

The area is given by the polynomial expression, which can represent the dimensions of the rectangle in terms of x.

Front

How do you find the sum of two polynomials?

Back

To find the sum, combine like terms from both polynomials.

Front

What is a coefficient in a polynomial?

Back

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

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.