NAME: _________________________________________________
SECTION: _______________________________
MATHEMATICS 10
WEEK 7
Lesson: Remainder Theorem & Factor Theorem
WRITE YOUR ANSWERS IN THIS WORKSHEET. ONLY THESE SEATWORKS WILL BE ANSWERED.
Using synthetic division or long division, determine the if the second polynomial is a factor of the first
polynomial. If not a factor, write its remainder. Please show your solution.
1. (x4 – x3 + 2) ÷ (x + 2) 2. (x3 – 2x2 + x + 6) ÷ (x – 3)
Question: Factor or Not a Factor? ______________ Question: Factor or Not a Factor? ______________
If not, what’s the remainder? ______________ If not, what’s the remainder? ______________
3. (x4 – 3x3+ 4x2 – 6x + 4) ÷ (x – 2) 4. (5x3 + 3x2 - 8) ÷ (x – 4)
Question: Factor or Not a Factor? ______________ Question: Factor or Not a Factor? ______________
If not, what’s the remainder? ______________ If not, what’s the remainder? ______________
SECTION: _______________________________
MATHEMATICS 10
WEEK 7
Lesson: Remainder Theorem & Factor Theorem
WRITE YOUR ANSWERS IN THIS WORKSHEET. ONLY THESE SEATWORKS WILL BE ANSWERED.
Using synthetic division or long division, determine the if the second polynomial is a factor of the first
polynomial. If not a factor, write its remainder. Please show your solution.
1. (x4 – x3 + 2) ÷ (x + 2) 2. (x3 – 2x2 + x + 6) ÷ (x – 3)
Question: Factor or Not a Factor? ______________ Question: Factor or Not a Factor? ______________
If not, what’s the remainder? ______________ If not, what’s the remainder? ______________
3. (x4 – 3x3+ 4x2 – 6x + 4) ÷ (x – 2) 4. (5x3 + 3x2 - 8) ÷ (x – 4)
Question: Factor or Not a Factor? ______________ Question: Factor or Not a Factor? ______________
If not, what’s the remainder? ______________ If not, what’s the remainder? ______________
