Monomials, Polynomials, Quadratic Expressions

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

What is a polynomial?

Back

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

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you simplify the expression -3x²(7x² - x + 4)?

Back

The simplified expression is -21x⁴ + 3x³ - 12x².

Front

What is the result of simplifying a²b⁷?

Back

The simplified expression is a²b⁷.

Front

How do you expand x⁵?

Back

Expanding x⁵ results in x ⋅ x ⋅ x ⋅ x ⋅ x.

Front

What is the value of (x⁻³)²?

Back

The value is 1/x⁶.

Front

How do you find the perimeter of a triangular shape with sides (4x + 11), (5x + 6), and (2x + 3)?

Back

The perimeter is 11x + 20.

Front

What is the degree of the polynomial 3x² + 2x + 1?

Back

The degree of the polynomial is 2, which is the highest exponent of the variable.

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.