Question

1. Divide the first polynomial by the second polynomial and find the remainder using factor theorem. (i) (2x³ 2x² + 5x-9); (x - 2)​

Answer 1

Step-by-step explanation:

Divide the first polynomial by the second polynomial and find the remainder using factor theorem. (i) (2x³ 2x² + 5x-9); (x - 2)

Answer 2

$\huge \mathfrak \green{answer}$

(i) t 2 −3,2t 4 +3t 3 −2t 2 −9t−12Remainder is 0, hencet2−3 is a factor 24 +3t 3 −2t 2 −9t−12

(ii) x 2 +3x+1,3x 4 +5x 3 −7x

2 +2x+2Remainder is 0, hence x 2 +3x+1 is a factor of 3x 4 +5x 3 −7x 2 +2x+2

(iii) x 3 −3x+1,x 5 −4x 3 +x 2 +3x+1Remainder is 2, hence x 3 −3x+1 is not a factor of x 5 −4x 3 +x 2+3x+1