If x=4by3 is zero of the polynomial p(x)=6x³-11x²+kx -20
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If x = 4/3
then,
p(x) = 6(4/3)^3 - 11(4/3)^2 + k(4/3) - 20
0 = 6(4/3)^3 - 11(4/3)^2 + k(4/3) - 20
0 = 32 - 176/9 - 4k/3 - 20
On simplifying
0 = 96 - 176 + 12k - 60
=> 4k - 140 = 0
4k = 140
k = 35/3
then,
p(x) = 6(4/3)^3 - 11(4/3)^2 + k(4/3) - 20
0 = 6(4/3)^3 - 11(4/3)^2 + k(4/3) - 20
0 = 32 - 176/9 - 4k/3 - 20
On simplifying
0 = 96 - 176 + 12k - 60
=> 4k - 140 = 0
4k = 140
k = 35/3
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