Question

find the value of k if x-2 is a factor of polynomial P(x) =2x³-6x²+5x+k​

Answer 1

Answer:

k= -2

Step-by-step explanation:

p(x)=2x³-6x²+5x+k

p(2)=2×2³-6×2²+5×2+k=0

     or 16-24+10+k=0

      or 2+k=0

               k=  -2

Mark it as brainliest!!!!

Answer 2

Answer:

°•° (x-2) is a factor of p(x)

=> x - 2 = 0

=> x = 2

p(x) = 2x³-6x²+5x+k

p(1) = 2(2)³-6(2)²+5(2)+k

= 2(8)-6(4)+10+k = 0

= 16-24+10+k = 0

= -8+10+k = 0

= 2+k = 0

= k = (-2)