Question

What must be added to (-15 + 4x – 3x2 + x) to obtain a polynomial which is
exactly divisible by (x – 3)?​

Answer 1

Answer:

27

Step-by-step explanation:

-15 + 4x - 3x2 + x

= -3x2+5x-15

Multiply it by - ,

= 3x2 - 5x + 15

Divide 3x2 - 5x + 15 and x-3

Refer to attachment for further steps..

Answer 2

Step-by-step explanation:

(-15 +4x-3×2 +x^2)

( x^2+4x-6-15 )

Let the added element be k

(×-3)

g(2) = x-3

0=x-3

x=3

put the of x in p(x)

p(3) =3^2 +4(3) -6 -15 +k

0= 6+12-6-15+k

= 12-15 +k

=-3 +k

k=3