PI 5 -- Factoring

Front

What are the factors of 25x² - 81?

Back

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

Front

Factor completely: 3x² - 8x + 4

Back

(3x - 2)(x - 2)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

What is the definition of factoring in algebra?

Back

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

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b) for any a and 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 completely?

Back

To factor completely means to break down a polynomial into its irreducible factors.