Synthetic division, and the Remainder and Factor Theorems
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
On a worksheet, x − 2 is a factor of x³ − 3x² + cx − 8. Ren needs the number c. What is c?
Zee knows x + 3 divides x³ − x² + cx + 18 with no remainder, and works in pencil. What is c?
On a puzzle card, x³ + 4x² + cx − 14 has the factor x + 2. Esme wants c. What is c?
In a notebook, Kira finds that (x³ + 2x² + cx − 14) ÷ (x − 2) has remainder -4. What is c?
Luz divides x³ − x² + cx − 6 by x − 3 in pencil and gets the remainder 6. What is c?
On a puzzle card, (2x³ + x² + cx + 10) ÷ (x + 1) leaves 4. Milo wants c. What is c?
On a worksheet, x − 3 is a factor of x³ − x² − 11x + 15. Noah divides it out. Type powers like x^2. What is the other factor?
In a notebook, Pia uses synthetic division to take the factor x − 2 out of 2x³ + 3x² − 11x − 6. What is the other factor?
Ren knows x + 2 is a factor of x³ + 4x² − 11x − 30 and works in pencil. What is the other factor?
On a puzzle card, 3x³ − 2x² − 7x − 2 has the factor x + 1. Tala wants the quadratic factor. What is it?