Q2 of 227 Page 89

Find the GCD of the following

(a – 1)5 (a + 3)2,(a – 2)2 (a – 1)3(a + 3)4

Given,


(a – 1)5 (a + 3)2 = (a – 1)3(a – 1)2(a + 3)2


(a – 2)2(a – 1)3(a + 3)4 = (a – 2)2(a – 1)3(a + 3)2(a + 3)2


Greatest common divisor = (a – 1)3(a + 3)2


More from this chapter

All 227 →
1

Find the GCD of the following

x3 – x2 + x – 1, x4 – 1

 2

Find the GCD of the following

24(6x4 – x3 – 2x2),20(2x6 + 3x5 + x4)

 3

Find the GCD of the following pairs of polynomials using division algorithm.

x3 – 9x2 + 23x – 15, 4x2 – 16x + 12

 3

Find the GCD of the following pairs of polynomials using division algorithm.

3x3 + 18x2 + 33x + 18, 3x2 + 13x + 10