Question

Check whether (x+1) is a factor of the polymia x4+x³+x²-5x+1. Justify the answer

Answer 1

Answer:

No

Step-by-step explanation:

Lets find out value of x from first polynomial

x + 1 = 0

x = -1

Now, Using Reminder theorem by Putting this value of x in second polynomial . If x + 1 is a factor of given polynomial, then Remainder should be zero.

( -1)⁴ + ( -1 )³ + ( -1)² - 5(-1) + 1

= 1 - 1 + 1 + 5 +1

= 7

Since Reminder ≠ 0, therefore (x + 1) is not a factor of

x⁴ + x³ + x²- 5x + 1.