Factor sums and differences of cubes, and higher-degree polynomials
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
On a worksheet, Zee factors x³ + 27 = (x + 3)(x² + ▢x + ▢). Write the two numbers with a comma, signs included. What are they?
In a notebook, Esme writes 27x³ − 64 = (3x − 4)(9x² + ▢x + ▢). Write the two box numbers with a comma. What are they?
Jun factors x³ + 125 in pencil as (x + 5)(x² + ▢x + ▢). Write the two box numbers with a comma. What are they?
On a puzzle card, 8x³ − 125 = (2x − 5)(4x² + ▢x + ▢). Kira fills the boxes. Type both numbers with a comma. What are they?
On a worksheet, Luz factors x⁴ − 16x² − 225 = (x² + ▢)(x² − ▢). Write the two numbers, first box first, with a comma. What are they?
In a notebook, Milo treats x⁴ + 27x² − 324 as a quadratic in x²: (x² + ▢)(x² − ▢). Type both numbers with a comma. What are they?
On a puzzle card, x⁴ − 11x² − 900 = (x² + ▢)(x² − ▢). Pia fills the boxes. Type both numbers with a comma. What are they?
In a notebook, Tala writes x³ − 2x² − 5x + 10 = x²(x − 2) − 5(x − 2). What is the other factor, besides x − 2?
Zee factors 2x³ + 5x² + 6x + 15 in pencil as x²(2x + 5) + 3(2x + 5). What is the factor that goes with 2x + 5?
On a puzzle card, x³ + 4x² − 7x − 28 = x²(x + 4) − 7(x + 4). Esme takes out x + 4. What is the other factor?