Question

12. If a and b are the zeros of the polynomial x ^ 2 + x - 2 find the value of (i) * a ^ 3 + b ^ 3; (ii) * 1/a + 1/b - ab​

Answer 1

Answer:

We know that  for any quadratic polynomial  

p(x)=ax  

2

+bx+c where a



=0  

Let α,β be the zeroes of the polynomial p(x)

Then, α+β=  

a

−b

​

 and αβ=  

a

c

​

 

Now, given that  

p(x)=x  

2

−4  

3

​

x+3

So, we have α+β=4  

3

​

 

αβ=3

Using above values we get

α+β −(αβ)=4  

3

​

−3

Step-by-step explanation:

Answer