M2 Sem A Final Review (Unit 7-9)

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder. It is used to simplify fractions and factor expressions.

Front

Factor the expression: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

What is the maximum height of a projectile modeled by the equation h = -8t^2 + 16t?

Back

The maximum height is 8 feet.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Front

Subtract: (2a^2 + 5a + 3) - (a^2 - 3a - 4)

Back

a^2 + 8a + 7

Front

What is the vertex of a parabola in vertex form?

Back

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

Front

Find the vertex of the parabola f(x) = 4(x-2)^2 + 3.

Back

The vertex is (2, 3).

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Solve the equation k^2 - 12k + 25 = 0 using the quadratic formula.

Back

The solutions are 6 + √11 and 6 - √11.

Front

What does it mean for a function to be quadratic?

Back

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