Question

Find the value of K if (x-1) is a factor of 3x²-4x+K

Answer 1

Answer:

Step-by-step explanation:

if (x-1) is a factor of 3x^2-4x+k

then if we put x=1 in 3*(1^2)-4*1+k=0

3-4+k=0

k=1

Answer 2

x-1 = 0

Thus, x = +1

Placing the value of x in p(x)=3x^2-4x+ k

P(1)= 3(1)^2 - 4(1) + K

= 3(1) - 4(1) + K

= 3 - 4 + K

= -1 + K

Since (x-1) is a factor of 3x^2 - 4x + K,

-1 + K = 0

Thus, by transposing (-1) in the above equation, we get,

K = 1