Polynomial Test 2 2024

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.

Front

How do you simplify the expression 3(2x + 4) + 4(x - 5)?

Back

First, distribute: 6x + 12 + 4x - 20. Then combine like terms: 10x - 8.

Front

What is the result of adding (3x^3 + 3x^2 - 4x + 5) and (x^3 - 2x^2 + x - 4)?

Back

Combine like terms to get 4x^3 + 1x^2 - 3x + 1.

Front

Back

Front

What is the sum of (2x^2 + 5x - 7) and (3 - 4x^2 + 6x)?

Back

Combine like terms to get -2x^2 + 11x - 4.

Front

How do you simplify -6x + 4(-x - 3)?

Back

Distribute to get -6x - 4x - 12. Combine like terms to get -10x - 12.

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 5x^2, 5 is the coefficient.