Factoring Review Pre-Calculus/Algebra2

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(x + 3)

Front

Factor by grouping: 3x³ - x² + 6x - 2

Back

(x² + 2)(3x - 1)

Front

Factor Completely: 8x³ - 18x

Back

2x(2x + 3)(2x - 3)

Front

Factor completely: x² - 6x + 8

Back

(x - 2)(x - 4)

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions.

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms to factor out common factors.

Front

What is a prime polynomial?

Back

A polynomial that cannot be factored into simpler polynomials over the integers.