Question

if alpha and beta are the zeros of the polynomial X square + 4 x + 3 form the polynomial whose zeros are 1 + beta upon alpha and 1 + Alpha upon beta​

Answer 1

Answer:

Step-by-step explanation:

Given equation :- x² + 4x + 3

Factorising it by middle term splitting :-

x² + 4x + 3

x² + 3x + x + 3

x ( x + 3 ) + 1 ( x + 3 )

( x + 3 ) ( x + 1 )

• ( x + 3 ) = 0

x = ( - 3 )

• ( x + 1 ) = 0

x = ( - 1 )

• The zeros of new equation are :-

So, the Zeros of new equation are 2 and 0

• Sum of the Zeros are :-

0 + 2 = 2

• Product of the Zeros are :-

0 × 2 = 0

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

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

Putting value in it !!

x² - 2x + 0

So, the required quadratic equation is

x² - 2x .