Factor Trinomials & Diff/sum of cubes

Front

What is the factored form of 3n² - 15n + 18?

Back

3(n - 3)(n - 2)

Front

Factor the trinomial x² – 5x – 24.

Back

(x - 8)(x + 3)

Front

What is the factored form of 4n² - 17n - 15?

Back

(n - 5)(4n + 3)

Front

Fully factor 8x³ - 27.

Back

(2x - 3)(4x² + 6x + 9)

Front

Factor the sum of cubes: 2x³ + 128.

Back

2(x + 4)(x² - 4x + 16)

Front

What is the formula for factoring a difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

What is the formula for factoring a sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

How do you factor a trinomial of the form x² + bx + c?

Back

Find two numbers that multiply to c and add to b.

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms.

Front

What does it mean to fully factor a polynomial?

Back

To express it as a product of irreducible factors.