Question

If alpha and beta are the zeros of polynomial X square + 6 X + 4 then form a polynomial whose zeros are Alpha square and beta square

Answer 1

Answer:

Hi Mate !!

Given equation :- x² + 6x + 9

Let's factorise it by middle term splitting :- x² + 6x + 9

x² + 3x + 3x + 9

x ( x + 3 ) + 3 ( x + 3 )

( x + 3 ) ( x + 3 )

• ( x + 3 ) = 0

x = ( - 3 )

• ( x + 3 ) = 0

x = ( - 3 )

• The new equation having Zeros as :-

So, the Zeros are 3

• Sum of the Zeros are :-

3 + 3 = 6

• Product of the Zeros are :-

3 × 3 = 9

♯ To form the quadratic equation we have formula as :-

x² - ( sum of Zeros )x + ( product of Zeros)

Putting value in it !!

x² - 6x + 9 is the required quadratic equation !