Algebra 2 Extra Credit Final Review

Front

What is the solution set for the inequality |3x - 7| < 11?

Back

x < 6 and x > -4/3

Front

Factor the polynomial f(x) = x^3 - 2x^2 - 13x - 10 given that (x - 5) is a factor.

Back

(x - 5)(x + 2)(x + 1)

Front

What type of polynomial has the same end behavior on both ends?

Back

Even degree

Front

If 3i is a root of a polynomial, what is the corresponding root?

Back

-3i

Front

Solve the equation by factoring: 3x^2 + 5x + 2 = 0.

Back

x = -2/3 and x = -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 f(x) = 4x^5 - 3x^3 + 2?

Back

5

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation ax^2 + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.

Front

What does it mean for a polynomial to be factored completely?

Back

It means the polynomial is expressed as a product of irreducible polynomials.