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?
In a notebook, Tala learns that x + 2 is a factor of x³ + cx² − 5x + 10. 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?
On a worksheet, x³ + cx² + x + 7 divided by x + 1 leaves the remainder 3. Jun needs c. What is c?
Luz divides x³ − x² + cx − 6 by x − 3 in pencil and gets the remainder 6. 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?