Question

Q.1) If - 1 and 2 are two Zeroes of the polynomial 2x^3 - x^2-5x-2 , find its
third zero.
with explanation ​

Answer 1

Answer:

your answer is given in the above photo

Answer 2

-1/2 is your   answer

Step-by-step explanation:

step-1 given that -1 and 2 are the zeros of the polynomial

so, you will have  two values of x i.e,  x= -1  

x+1=0 you first polynomial and other is polynomial is x=2 so,

x-2=0

step-2 Now, you get two polynomial i.e, x-2 and x+1 .  when you divide x-2 or

x+1 with the polynomial p(x)= 2x^3 -x^2-5x-2

suppose If i divide  p(x) with poly. x-2

you can p(x) with x+1 also

step-3 If you divide  p(x) by x-2 then, the quotient will be 2x^2+3x+1

Step-4 Now, you have to factorise 2x^2+3x+1 by spilting the middle term you will get (x+1)(2x+1)

step-5 put x+1=0

x=-1

put 2x+1=0

x=  -1/2

step-5 now you get x= -1 and x=   -1/2

so, -1 is given in the question so, your answer is  -1/2