Flashcard 7.1-7.3

Front

What is the result of the expression (2 + 3s^4) - (5s^4 + 8)?

Back

-2s^4 - 6

Front

Expand the expression (2a + 4)(a + 1).

Back

2a^2 + 6a + 4

Front

Expand the expression (n + 2)(n^2 + 5n - 3).

Back

n^3 + 7n^2 + 7n - 6

Front

Solve the expression (3x^2 + 4x + 5) + (2x^2 - x + 3).

Back

5x^2 + 3x + 8

Front

Expand the expression (x + 3)(x + 5).

Back

x^2 + 8x + 15

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 4x^3 + 3x^2 - 2x + 1?

Back

The degree is 3, which is the highest exponent of the variable.

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.

Front

What is the formula for the distributive property?

Back

a(b + c) = ab + ac.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.