Question

If x - 1 is a factor of 2x^3 + 9x^2 + x + k , then k is​

Answer 1

answer

k = - 12

Therfore the value of k must be => -12 (negative 12)

Hope it helps

Step-by-step explanation:

p(x) = 2x^3 + 9x ^2 + x + k

If (x-1) is a factor of p(x), then p(1) = 0

That is, 2(1^3) + 9(1^2) + 1 + k = 0

=> 2(1) + 9(1) + 1 + k = 0

=> 2 + 9 + 1 + k = 0

=> 12 + k = 0

=> p(x) = 2x^3 + 9x ^2 + x + k

If (x-1) is a factor of p(x), then p(1) = 0

That is, 2(1^3) + 9(1^2) + 1 + k = 0

=> 2(1) + 9(1) + 1 + k = 0

=> 2 + 9 + 1 + k = 0

=> 12 + k = 0

=> k = - 12

Therfore the value of k must be => -12 (negative 12)

Hope it helps

Therfore the value of k must be => -12 (negative 12)

Hope it helps

Answer 2

Answer:

here the value of x will be the 1 and the value of k will be -12

for x:

x-1=0

x=1

for k:

2(1)³+9(1)²+1+k=0

2+9+1+k=0

k+12=0

k= -12

Step-by-step explanation:

here is your answer

hope its help you