Question

Find the value of k, if x + k is the factor of the polynomials:
(1) x3+ kx² - 2x +k+5
(ii) x4-X? + 3x - 6k​

Answer 1

Answer:

k = -4/3

Step-by-step explanation:

Convert given polynomial into equation as:

x^3 +kx^2 -2x +k + 4 = 0 …..(A)

Since x+k is a factor,substitute x= -k in (A), you will get, - k^3 +k^3 + 2k +k +4 = 0

Ultimately you will get, k = -4/3

Answer 2

Answer:

If x+ k is factor then x=-k is the root of this equation then after putting value of x=-k in this equation,

We get -k^3+k^3–2(-k)+k+4=0

i.e 3k=-4

i.e k=-4/3 answer