Question

Find a quadratic polynomial,the sum and product of whose zeroes 4 and 1 respectively

Answer 1

Question :-  Find a quadratic polynomial,the sum and product of whose zeroes 4 and 1 respectively

Answer:

k=1

Step-by-step explanation:

α+β=4

αβ=1                                                            

=k(x²-(α+β)x+αβ)

=k(x²-4x+1)

polynomial is x²-4x+1  

k=1

Answer 2

Answer:

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Step-by-step explanation:

given ,

(α+β)= 4

(αβ) = 1

x² −(α+β)x +αβ

=> x² -4x + (4)×(1)

=> x² -4x +4

therefore , the quadratic equation formed is

x² -4x +4.

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