Algebra 2 SOL Final Review

Front

Solve by using the quadratic formula: 15x² + 22x = -8

Back

x = -2/3, -4/5

Front

Which of the following is a factor of the polynomial shown?

Back

Identify factors of polynomials by using the Factor Theorem.

Front

What is the increasing interval for the function f(x) = 3x² - 9?

Back

0 ≤ x ≤ ∞

Front

Given the function -(x² - 3) + 3, find the end behavior as x approaches infinity.

Back

The end behavior is -∞.

Front

Solve: 3x² - 11x + 10 = 0

Back

x = 1.7 or 2

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 ≠ 0.

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 significance of the discriminant in a quadratic equation.

Back

The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x₁ and x₂ in that interval, if x₁ < x₂ then f(x₁) < f(x₂).