Math 3 Semester 1 Final December 2024

Front

Find the 2nd term in the expansion of (2b + 1)^3

Back

12b^2

Front

What is the expression for 2x^2 + 3x + 8 + (7/x-4)?

Back

2x^2 + 3x + 8 + (7/x-4)

Front

Factor: 10x + 15

Back

5(2x + 3)

Front

Factor: x^2 - 5x

Back

x(x - 5)

Front

Factor: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

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

Back

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

Front

Define 'factoring' in algebra.

Back

Factoring is the process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

Front

What is the quadratic formula?

Back

x = (-b ± √(b^2 - 4ac)) / (2a) for ax^2 + bx + c = 0.

Front

What does it mean for an expression to be 'simplified'?

Back

An expression is simplified when it is reduced to its simplest form, with no like terms or factors that can be combined.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of multiple terms (e.g., 2x^2 + 3x + 1), while a monomial is a single term (e.g., 4x^3).