Question

for what value of k is the polynomial p(x)=2x³-kx²+3x+10 exactly divisible by (x+2)​

Answer 1

Answer:

k=3

Step-by-step explanation:

here ,( x+2) is factor of p(x)

so  x=(-2) is zero's of p(x)

p(-2)=0

2x³-kx²+3x+10=0

=> 2(-2)³-k(-2)²+3(-2)+10 = 0

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

=>   -12-4k = 0

=>  4k = 12

=> k= 3