Question

what should be added to the polynomial x^2-5x+4, so that (x-3) is factor of the resuting polynomial?
pls with solutions ​

Answer 1

2

Step-by-step explanation:

x - 3 = 0

x = 3

x² - 5x + 4

= 3² - 5 ( 3 ) + 4

= 9 - 15 + 4

= 9 + 4 - 15

= 13 - 15

= - 2

Remainder = - 2

Multiple - 1 with - 2,

= - 1 ( - 2 )

= 2

Therefore,

2 should be added to the polynomial x² - 5x + 4, so that

( x - 3 ) is factor of the resuting polynomial.