Polynomials: Classify, Add, Subtract

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 3x^2 + 2x - 5 is a polynomial.

Front

How do you classify polynomials by degree?

Back

Polynomials are classified by their degree: 0 (constant), 1 (linear), 2 (quadratic), 3 (cubic), and so on. The degree is the highest power of the variable in the polynomial.

Front

Classify the polynomial: 7x^3 – 8x^2 + 9

Back

Cubic (degree 3).

Front

What is the result of adding two polynomials?

Back

The result is a new polynomial formed by combining like terms from both polynomials.

Front

Simplify the expression: (3x^3 + 11x - 14) - (-2x + 6x^3 - 8)

Back

-3x^3 + 13x - 6.

Front

What is the perimeter of a triangle in terms of its sides?

Back

The perimeter is the sum of the lengths of all three sides.

Front

If the perimeter of a triangle is 10x + 20, and two sides are known, how do you find the third side?

Back

Subtract the sum of the known sides from the perimeter.

Front

Simplify the expression: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Back

-8n^2 - 8n + 3.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term. For example, 5 is a constant polynomial.

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.