Question

if one of the zeros of the polynomial p(x)=2x^3 -kx-3 is 3 than the other zero is​

Answer 1

Answer:

Other zero=√10

Step-by-step explanation:

x=3

p(x)=0

p(x)=2x³-kx-3

2x³-kx-3=0

2(3)³-k(3)-3=0

2(27)-k(3)-3=0

54-3k-3=0

54-3-3k=0

51-3k=0

(-3k)=(-51)

3k=51

k=51/3

k=17

2x³-kx-3=0

2x³-17x-3=0

x(2x²-17-3)=0

2x²-20=0

2x²=20

x²=20/2

x²=10

x=√10

Therefore, the other zero is √10.