Question

if X - 2 is a factor of the polynomial 2 X square + kx - 15 then the of K is​

Answer 1

Answer:

let P(x)=X-2=0

x=2

g(x) = 2x^+kx-15=0

p(2)= 2*2^+k*2-15=0

2*2*2+k2-15=0

8+k2+15=0

-7+k2=0

k2=7

k=7/2

k. = 3.5

Answer 2

$f(x) = x - 2 = 0 \\ \: \: \: \: \: \: \: \: \: \: = > \: \: \: \: x = 2$

$p(x) = {2x}^{2} + kx - 15 = 0 \\ \: \: \: = > {2(2)}^{2} + 2k - 15 = 0 \\ \: \: \: = > \: \: \: \: \: \: \: 8 + 2k - 15 = 0 \\ \: \: \: = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2k - 7 = 0 \\ \: \: \: = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: k = \frac{7}{2} = 3.5$