Alg 2 Review for Dec Final 24-25

Front

What is the product of \( (8x-7)(2-6x+9x^2) \)?

Back

The product is \( 72x^3 - 111x^2 + 58x - 14 \).

Front

Is the relation a function?

Back

No, the x-value 11 has two y-values paired with it.

Front

What is the leading term of the polynomial \( 7x - 125 - 6x^4 + 14x^2 \)?

Back

The leading term is \( -6x^4 \).

Front

Factor the expression \( x^2 - 25 \).

Back

The factored form is \( (x + 5)(x - 5) \).

Front

Given \( f(x) = 3x + 10 \) and \( g(x) = x - 2 \), find \( f(g(5)) \).

Back

The result is 19.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the degree of the polynomial \( 4x^3 - 2x^2 + 7 \)?

Back

The degree is 3.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

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 monomials.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots using the quadratic formula: \( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \).