U4 Part 1 Review

Front

What is the factored form of 27x³ - 64?

Back

(3x - 4)(9x² + 12x + 16)

Front

Factor the sum of cubes: 2x³ + 128.

Back

2(x + 4)(x² - 4x + 16)

Front

Multiply: (4 – 3i)(–7 – 2i)

Back

–34 + 13i

Front

Factor: x² – 5x – 24

Back

(x - 8)(x + 3)

Front

Factor the trinomial: x² - 8x + 15

Back

(x - 5)(x - 3)

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

What is the result of multiplying two complex numbers (a + bi)(c + di)?

Back

(ac - bd) + (ad + bc)i

Front

What are the steps to factor a quadratic expression ax² + bx + c?

Back

1. Find two numbers that multiply to ac and add to b. 2. Rewrite the middle term. 3. Factor by grouping.

Front

What is the factored form of x² - 9?

Back

(x - 3)(x + 3)