Find a quadratic polynomial whose sum and product respectively of the zeroes are as given .Also find the zeroes of these polynomials by factorization ((-3)/(2sqrt5)), (-1/2)

abondantQ 2020-11-03 Answered
Find a quadratic polynomial whose sum and product respectively of the zeroes are as given .Also find the zeroes of these polynomials by factorization
(325),(12)
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Expert Answer

yagombyeR
Answered 2020-11-04 Author has 92 answers
Step 1
Given:
(325),(12)
Sum of the zeroes =325x
Product of the zeroes =12
Step 2 Finding the zeroes
p(x)=x2 -(sum of the zeroes)+(product of the zeroes)
p(x)=x2325x12
p(x)=25x23x5
25x23x5=0
25x2(5x2x)5=0
25x25x+2x5=0
5x(2x5)(2x5)=0
(2x5)(5x1)=0
2x5=0,5x1=0
2x=5,5x=1
x=52,x=15
x=52,15
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