Question

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

Answer 1

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

Answer 2

I hope this answer helps