Question

Find the value of k ,if x+k is factor of the polynomial x³-(k²-1)x+3​

Answer 1

Step-by-step explanation:

if x + k is a factor then

x+ k = 0

therefore , x = -k

now, put the value of x in the equation

x³ - (k²- 1)x + 3 =0 =》 (-k)³ - (k² - 1) × -k + 3 = 0

=》 -k³ + k³ - k + 3 = 0

=》 -k = -3 =》 k = 3 Ans