Exam Review - Polynomials and Radical Equations

Front

What is synthetic division?

Back

A method used to divide polynomials, particularly useful for dividing by linear factors of the form (x - c).

Front

Can you use synthetic division to divide the polynomial (2x^3 + 7x^2 - 6x - 8) by (x + 4)?

Back

Yes, synthetic division can be used in this case.

Front

What is the factored form of 27x³ - 64?

Back

(3x - 4)(9x² + 12x + 16) is the correct factorization.

Front

How do you factor the expression 3x² + 18x + 15?

Back

First, factor out the GCF: 3(x² + 6x + 5), then factor completely: 3(x + 5)(x + 1).

Front

What is the factored form of x² - 400?

Back

(x - 20)(x + 20) is the correct factorization.

Front

How many terms will there be in the product of (3x^4 - 2x^3 + x - 7)(6x^2 - 4x + 1) before combining like terms?

Back

There will be 12 terms in the product.

Front

What is the difference of squares?

Back

A difference of squares is an expression of the form a² - b², which can be factored as (a - b)(a + b).

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

How do you factor a polynomial completely?

Back

1. Find the GCF. 2. Factor out the GCF. 3. Factor the remaining polynomial if possible.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.