Question

if (2x-1) is a factor of q (x ) =x^3+2x^3-3x+k, then k=...​

Answer 1

Answer:

Step-by-step explanation:

(2x−3) is a factor of p(x)=2x  

3 −9x  2  +x+K,

If (2x−3)=0,x=  2 3

​ If (2x−3) is a factor of p(x) then p(  2 3  )=0 p(x)=2x  3 −9x  2 +x+K, ⇒p(  2 3)=2(2 3 −9(2 3 )+  2 3 +K=0 ⇒2(  8 27 )−9(  4 9)+  2 3 +K=0 ⇒(  4 27 −  4 81 +  2 3 +K=0)×4

27−81+6+4K=0

−48+4K=0

4K=48

So K=12