Question

if -5 is a zero of the polynomial x2-x-6-(k+1) then find k​

Answer 1

answer is k=0 because x=-5 then put the value x and × 10 -11=1-(k+1)

k=1-1=0

Answer 2

The value of k is 23 .

Step-by-step explanation:

If (-5) is a zero of the polynomial x²-x-6-(k+1) then, p(-5)=0

p(x)=x²-x-6-(k+1)

p(-5)=(-5)²-(-5)-6-(k+1)=0

25+5-6-k-1=0

30-6-1-k=0

24-1-k=0

23-k=0

-k=-23

k=23

Verification:

x²-x-6-(23+1)

x²-x-6-(24)

x²-x-6-24

x²-x-30

p(-5)=(-5)²-(-5)-30

25+5-30

30-30

=0

Hence verified.

Hope you've understood!