Polynomial identities and the Binomial Theorem
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
On a worksheet, Esme expands (2x + 1)³ with the cube pattern. Type powers like x^3. What is it in fewest terms?
In a notebook, Jun finds the volume of a cube with edge 3x − 1. Type powers like x^3. What is it in fewest terms?
Kira expands (2x − 3)³ in pencil. Type powers like x^3. What is it in fewest terms?
On a puzzle card, Luz builds (3x + 2)³ from 8 blocks. Type powers like x^3. What is it in fewest terms?
In a notebook, Noah writes x² + 25 as a product of two binomials with i. Which one is right?
- (x + 5i)(x − 5i)
- (x + 5i)²
- (x + 25i)(x − 25i)
- (x + 5)(x − 5)
Pia factors 4x² + 49 in pencil, using i. Which product equals 4x² + 49?
- (2x + 7)(2x − 7)
- (2x + 7i)²
- (2x + 49i)(2x − 49i)
- (2x + 7i)(2x − 7i)
On a puzzle card, Ren needs 9x² + 16 as a product with i. Which one is right?
- (3x + 4)(3x − 4)
- (3x + 4i)²
- (3x + 16i)(3x − 16i)
- (3x + 4i)(3x − 4i)
In a notebook, Zee uses the Binomial Theorem on (x − 2)⁵. What is the coefficient of the x² term?
Esme expands (2x + 1)⁶ in pencil but only needs the x⁴ term. What is its coefficient?
On a puzzle card, Jun needs the x³ term of (2x − 3)⁴. What is its coefficient?