Chapter 3 Review

Front

What is the product of (x-3)(x^2+2x+7)?

Back

x^3 - x^2 + x - 21

Front

What is the result of (x-7)(x+7)?

Back

x^2 - 49

Front

Simplify: (x+4) + (x-2)(3x+5)

Back

3x^2 - 6

Front

What is the factored form of the perfect square trinomial x^2 + 12x + 36?

Back

(x + 6)^2

Front

Find the sum: (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

Back

-2x^2 + 11x - 4

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 - 2x^2 + x - 5?

Back

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

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a - b)(a + b)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a polynomial that can be expressed as the square of a binomial, e.g., (a + b)^2 = a^2 + 2ab + b^2.

Front

What is the formula for factoring a trinomial of the form x^2 + bx + c?

Back

It can be factored as (x + p)(x + q) where p and q are the roots of the equation.