arrow
arrow
arrow
The factors of polynomial x3−6x2+11x−6x^3 - 6x^2 + 11x - 6x3−6x2+11x−6​ are-
Question

The factors of polynomial x36x2+11x6x^3 - 6x^2 + 11x - 6​ are-

A.

(x + 1)(x + 2)(x - 3)

B.

(x - 1)(x + 2)(x - 3)

C.

(x - 1)(x - 2)(x - 3)

D.

(x - 1)(x - 2)(x + 3)

Correct option is C

Given:

Polynomial: x³ - 6x² + 11x - 6
We need to find its factors.

Use Rational Root Theorem

Try simple values like x = 1:

1³ - 6(1)² + 11(1) - 6 = 1 - 6 + 11 - 6 = 0
So, x = 1 is a root => (x - 1) is a factor

Divide the polynomial by (x - 1)

Use long division or synthetic division:
x³ - 6x² + 11x - 6 ÷ (x - 1) = x² - 5x + 6

Now factor x² - 5x + 6:
= (x - 2)(x - 3)

Final Factorization:
x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)

Correct Answer is (x - 1)(x - 2)(x - 3)

Free Tests

Free
Must Attempt

UPTET : Paper 1 Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET : Paper 2 Maths & Science Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
Free
Must Attempt

UPTET : Paper 2 Social Science Full Mock - 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon150 Marks
  • timerIcon150 Mins
languageIcon English
test-prime-package

Access ‘UPTET’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
530k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow