Question

third quoestion answer to gind zeros

Answer 1

ax^2+7x+b = ax^2 + Bx + c

alpha=2/3=B/a

2/3=7/a

a=21/2 ANS.

beta =-3= -c/a

-3 =-b/21/2

63/2 =b

b=63/2 ANS.

PLEASE MARK THE ANSWER AS BRAINLIEST.

Answer 2

Given zeroes :

2 + √5 and 2 - √5

To Form :

A polynomial whose zeroes are the above mentioned.

Solution :

We know that to form any polynomial we use the below formulae :

k[x² - (Sum of zeroes)x + product of zeroes]

- Where k is any constant.

Here , Sum of zeroes :

2+√5+2-√5 = 4

Product of zeroes :

(2-√5)(2+√5)

[Using the identity of A²-B²= (A+B)(A-B)]

2²-(√5)²

= 4-5

= -1

Then again coming to the formula :

k[x² - (Sum of zeroes)x + product of zeroes]

k[x² - (4)x + (-1) ]

k[x² - 4x-1]

Here k = 1

Then , the required polynomial is x²-4x-1.