Question

Find the quadratic polynomial whose zeroes are 7± √5

Answer 1

hi friend,

given zeros of the quadratic polynomial are 7+√5 and 7-√5

→sum of zeros =7+√5+7-√5

=14

→product of zeros =(7+√5)(7-√5)=49-5=44

so, required polynomial is x²-(sum of zeros) x+product of zeros

→x²-14x+44

I hope this will help u ;)

Answer 2

Sum of zeros =7+√5+7-√5 =14

Product of zeros =(7+√5)(7-√5)=49-5=44

Hence,the required polynomial = x2 - (sum of zeros) x + product of zeros

= x2 -14x + 44