Algebra 2 Final

Front

Find the fourth term of the expansion (5+3y)^5.

Back

The fourth term is 6750y^3.

Front

State the direction of opening of the parabola y = -(x+3)(x-2).

Back

The direction of opening is Down.

Front

Expand the expression (5x+2)(x^2-3x+6).

Back

The expansion is 5x^3 - 13x^2 + 24x + 12.

Front

Does the parabola y = -(x+3)(x-2) have a maximum or minimum?

Back

The parabola has a Minimum.

Front

Identify the roots of the quadratic equation x^2 + 4x - 3 = 0.

Back

The roots are x = {-1, 3}.

Front

What is the formula for the binomial expansion of (a+b)^n?

Back

The formula is Σ (n choose k) * a^(n-k) * b^k for k=0 to n.

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x-h)^2 + k, where (h,k) is the vertex.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

What is the discriminant of a quadratic equation?

Back

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