Question

if x3-3x2+5x-k is completely divisible by x-4 then find k​

Answer 1

Answer:

k = 36

Step-by-step explanation:

x-4=0

x =4

p(x)= x3-3x2+5x-k=0

p(4)=(4)3 -3(4)2 +5×4-k=0

64 -3×16 +20 - k=0

64 - 48 +20 -k = 0

36 -k = 0

-k = - 36

k = 36

Answer 2

Answer:

The zero of the polynomial x - 4 is 4.

p(4)=> (4)^3 - 3(4)^2 + 5(4) - k = 0

=> 64 - 48 + 20 - k = 0

=> 36 - k = 0

=> k = 36