Unit 5 Test Review

Front

What is the factored form of the expression 8a^3 + 4a^2 + 2a?

Back

2a(4a^2 + 2a + 1)

Front

How do you factor the expression 2a^2 + 6a?

Back

2a(a + 3)

Front

What is the result of multiplying (2a + 1) and (4a^2 - 2a + 1)?

Back

(2a + 1)(4a^2 - 2a + 1)

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 5a^4 + 3a^2 - 2?

Back

The degree is 4, which is the highest exponent of the variable.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more terms.

Front

How do you identify the leading coefficient of the polynomial 3a^3 + 2a^2 - 5?

Back

The leading coefficient is 3, which is the coefficient of the term with the highest degree.

Front

What is the process of factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms to factor out common factors.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you solve the equation 2a^2 - 8 = 0?

Back

Factor to get 2(a^2 - 4) = 0, then use the zero-product property: a = ±2.