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Step-by-step explanation:
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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 )
So
• 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 .
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