Question

If (2k-3) is a factor of 2x⁴-3x²+15k find k

Answer 1

(2x-3) is a factor of
$2 {x}^{4} - 3 {x}^{2} + 15 k= 0$
Substitute x=3/2
=>
$2 {( \frac{3}{2} )}^{4} - 3 {( \frac{3}{2}) }^{2} + 15 k= 0$
=>
2(81/16)-3(9/4)+15k=0
=>
81/8-27/4 +15k=0
=>
81-54/8 +15k=0
=>
15k= -27/8
=>
k= -27/120= -9/40. Hope it helps you...

Answer 2

it is misprinted...it will be 2x-3