Question

If x = 4/3 is a zero of the polynomial f(x) = 6x^3 + 11x^2 + kx - 20,find the value of k

Answer 1

Step-by-step explanation:

x=4/3

p(x)=6x^3+11x^2+kx-20

p(4/3)=6(4/3)^3+ 11(4/3)^2+k(4/3)-20

=(6×64/27)+(11×16/9)+4k/3-20

=( 128/9) +(176/9)+4k/3-20

=128+176+12k-180/9

=125+12k/9=0

=125+12k=0

=12k= -125

=k= -125/12

hope it helps u!!!! :)))