Algebra 2 SOL Review #2

Front

Solve the quadratic equation: 3x² - 11x + 10

Back

x = 1.7 or x = 2

Front

Determine the end behavior of the function: -(x² - 3) + 3 as x approaches infinity.

Back

The end behavior is -∞.

Front

Use the quadratic formula to solve: 15x² + 22x = -8

Back

x = -2/3 or x = -4/5

Front

Identify the increasing interval for the function: f(x) = 3x² - 9.

Back

The increasing interval is 0 ≤ x ≤ ∞.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found at x = -b/(2a).

Front

Explain the concept of factoring a polynomial.

Back

Factoring a polynomial involves expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by D = b² - 4ac and determines the nature of the roots.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots by factoring, using the quadratic formula, or completing the square.