Question

If 5x2−6x+k is divisible by (x−3) then k=​

Answer 1

Answer:

-27

Step-by-step explanation:

If 5x²-6x+k is divisible by (x-3) then for x=3 value of given polynomial will be 0.

5(3)²-6(3)+k=0

45-18+k=0

27+k=0

k= -27

Answer 2

Answer:

k= -27

Step-by-step explanation:

g(x)= x-3

f(x)= 5x²-6x+k

Therefore,

x-3=0 => x=3

f(3)= 5(3)²-6(3)+k=0

45-18+k=0 =>k= -27