Question

FOR WHAT VALUE OF K IS THE POLYNOMIAL P(X)=2X³-KX²+3X+10 EXACTLY DIVISIBLE BY (X-2)​

Answer 1

Answer:

k=8

Step-by-step explanation:

x-2 means x=2

therefore,p(2)=0

=>2(2)³-k(2)²+3(2)+10=0

=>16-4k+6+10=0

=>32-4k=0

=>-4k=-32

=>k=8

Answer 2

Answer:

When p(x) is divided by (x-2)

X-2=0, x = 2 is substituted in p(x)

P(x) =2x^3 - KX^2 + 3x +10

P(2) =2*(2)^3 - K*(2)^2 +3*2 +10 = 0

=> 2*8 - K*4 +6 +10 =0

=> 16 - 4K +16 =0

=> 32 = 4 k

=> K =32/4

=> K = 8

The value of K is 8