math
posted by Anonymous on .
Perform the following polynomials divisions: (12 marks)
(x2  7x  12) ÷ (x + 2)
(x3 + x2 – 3x + 1) ÷ (x – 1)
(3x3 + 5x2 – 3x – 5) ÷ (x + 1)
(x4  3x3 + 3x + 2) ÷ (x  2)
Based on the results of question 1, what do you notice when the divisor is a factor of the polynomial? (1 mark)

correction
(x^2  7x  12) ÷ (x + 2)
(x^3 + x^2 – 3x + 1) ÷ (x – 1)
(3x^3 + 5x^2 – 3x – 5) ÷ (x + 1)
(x^4  3x^3 + 3x + 2) ÷ (x  2) 
(x^2  7x  12) ÷ (x + 2) = (x9) remainder 6
(x^3 + x^2 – 3x + 1) ÷ (x – 1) = (x^2+2x1) remainder 0
(3x^3 + 5x^2 – 3x – 5) ÷ (x + 1) = 3x^2+2x5 remainder 0
(x^4  3x^3 + 3x + 2) ÷ (x  2) = x^3x^22x1 remainder 0