Q1 of 227 Page 86

Factorize each of the following polynomials.

x3 – 2x2 – 5x + 6

Given,

x3 – 2x2 – 5x + 6, put x = 1


then, 1 – 2 – 5 + 6 = 0, since,


this equation is divisible by (x – 1)


according to the question,


x3 – 2x2 – 5x + 6 = (x – 1)(x2 – x – 6)


= (x – 1)[x2 – 3x + 2x – 6]


= (x – 1)[x(x – 3) + 2(x – 3)]


= (x – 1)(x + 2)(x – 3)


More from this chapter

All 227 →
2

If the quotient on dividing x4 + 10x3 + 35x2 + 50x + 29 by x + 4 is x3 – ax2 + bx + 6, then find a, b and also the remainder.

 3

If the quotient on dividing, 8x4 – 2x2 + 6x – 7 by 2x + 1 is 4x3 + px2 – qx + 3,then find p, q and also the remainder.

 1

Factorize each of the following polynomials.

4x3 – 7x + 3

 1

Factorize each of the following polynomials.

x3 – 23x2 + 142x – 120