Math, asked by SeshuVirat18, 1 year ago

If x = 4/2 is a root of the polynomial f (x) = 6x³ - 11x² + kx - 20, find the value of k.​

Answers

Answered by Blue14
5

On putting the value of root of a polynomial into that polynomial we get 0

so, 6(4/3)^3-11(4/3)^2+k4/3-20=0

→128/9-176/9+k4/3 -20=0

→-48/9+k4/3 -20=0

→-16/3+k4/3 -20=0

→(4k-16)/3=20

→4k-16=60

→4k=76

→k=19


Blue14: Dude I think that is 4/3
Blue14: Not 4/2
SeshuVirat18: It's ok I'll adjust
Blue14: Oh k thanks
SeshuVirat18: hmm
Answered by rohithreddy90
1

Step-by-step explanation:

f (x) =6 (8)-11 (4)+2k-20=0

48-44-20+2k=0

2k=16

k=8


SeshuVirat18: what is the step of root
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