Question

Find a quadratic polynomial sum and product of its zeros are 4, 1​

Answer 1

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⇒ Let α and β are zeros of required quadratic polynomial.

⇒ α+β=4 ---- ( 1 ) [ given ]

⇒ αβ=1 ----- ( 2 ) [ Given ]

The required polynomial,

x2 −(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x2 −4x+1=0

$\huge\fbox\red{HOPE\:IT\: HELPS\: YOU}$

Answer 2

$\huge\fcolorbox{black}{cyan}{Answer}$

→ Let a and ß are zeros of required

quadratic polynomial.

→ a+ B = 4----------------- (1) [given]

→ a.ß = 1---------------------(2) [ Given]

The required polynomial,

→ x– (a + b)x+ (ap) = 0

Now, using (1) and (2)

→ x2 – 4x+1=0