1.

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

Answer»

(2x-3) is a factor of
2 {x}^{4}  - 3 {x}^{2} + 15 <klux>K</klux>= 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...



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