polynomials question ~again~~

2012-08-23 1:09 am
4x^3 + 2x^2 - 30x - 36 is divisible by x + 2

hence,show that x+1 is a factor of
32x^3 + 8x^2 - 60x -36~~

回答 (1)

2012-08-23 2:21 am
✔ 最佳答案
By remainder theorem , 4( - 2)³ + 2(- 2)² - 30(- 2) - 36 = 0 since 4x³ + 2x² - 30x - 36 is divisible by x + 2.

4( - 8) + 2(4) + 30(2) - 36 = 0

32(- 1)³ + 8(- 1)² - 60(- 1) - 36 = 0By remainder theorem again , x+1 is a factor of 32x³ + 8x² - 60x - 36.


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