If 3x - 4 is a factor of the polynomial p x is equal to 2 x cube - 11 X square + kx - 20 then find the value of k
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3x -4= 0
3x = 4
x= 4/3
put x= 4/3 in 2 x^3 - 11 x^2 + kx -20
2( 4/3)^3 - 11( 4/3)^2 + 4k/3 -20= 0
128/27 - 176/9 + 4k/3 -20= 0
128 - 528 + 36 k - 540 = 0
-400 -540 +36k = 0
-940= -36k
k = 940/36 = 235/9= 26.1
3x = 4
x= 4/3
put x= 4/3 in 2 x^3 - 11 x^2 + kx -20
2( 4/3)^3 - 11( 4/3)^2 + 4k/3 -20= 0
128/27 - 176/9 + 4k/3 -20= 0
128 - 528 + 36 k - 540 = 0
-400 -540 +36k = 0
-940= -36k
k = 940/36 = 235/9= 26.1
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6
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