Question

Find a two exponent polynomial whose sum and product of zeroes are 4 , 1 respectively

Answer 1

Answer: x²-4x+1.

Step-by-step explanation:

Given that,

Sum of zeroes (α+β)=4

Product of zeroes (αβ)=1

We know that,

k [x²-(α+β)x+αβ]

Putting the values of α+β and αβ in the above equation we get,

k[x²-4x+1]

Hence, the required polynomial is x²-4x+1.

Answer 2

Step-by-step explanation:

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