Question

Find a quardic polynomial whos sum and product of zeroes are 4,1 respectively

Answer 1

Answer:

Step-by-step explanation:

α+β=4

αβ=1

the required polynomial is

p(x)=k[$x^{2}$+(α+β)x+αβ]

     =k($x^{2}$+4x+1]

therefore the quadratic polynomial is $x^{2}$+4x+1 where k=1

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