Question

Wrote the quadratic polynomial whose sum of zeroes is 5 and product of zeroes is 6

Answer 1

Answer :

N/a

Solution :

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

Given that alpah+β=5 and αβ=6  

Now,  p(x)=x2−(α+β)x+αβ=x2−5x+6=x2−3x−2x+6  

=x(x−3)−2(x−3)=(x−3)=(x−3)(x−2) ,brgt There may be so many different polynomials which satisfy the given condition. Actually the general quadratic polynomial will be k(x2−5x+6), where k≠0  

∴  p(x)=0  

⇒ (x−2)(x−3)=0  

⇒ (x−2)=0 or (x−3)=0  

⇒ 2=2 or x=3  

∴ Zeroes are 2 and 3.   Ans.  

Note : If is asked that find a polynomial, then find only one quadratic polynomial i.e., without k, otherwise, in general you should write k in the multiplication.

Hope helps.!

Answer 2

Answer:

I hope it will help you you Mark me brainlist and follow me