Question

Find the value of K if x-2 is factor of 3x3 + 4x2 – 5x – 5k

Answer 1

Answer:

10

Step-by-step explanation:

If x - 2 is factor of this polynomial, numeric value of that polynomial must be 0, for x = 2.

= > 3(2)³ + 4(-2)² - 5(-2) - 5k = 0

= > 3(8) + 4(4) - 5(-2) = 5k

= > 24 + 16 + 10 = 5k

= > 24 + 26 = 5 k

= > 50 = 5k

= > 50/5 = k

= > 10 = k

Answer 2

answer:- k = 10

Step-by-step explanation:

one zeroes of this quadratic equation is 2

f(x)= 3x^3 + 4x^2 - 5x -5k

f(2) = 3*(2)^3 + 4*(2)^2 -5*2 -5k = 0

24 + 16 - 10 -5k = 0

50 - 5k = 0

5k = 50

k = 50/5

k = 10