Math, asked by sharmayogesh0408, 9 months ago

if the zeroes of the polynomial are 5/2 and -1/4

Answers

Answered by Anonymous
0

ANSWER

zeroes of the polynomial are (5+  

2

​  

) and (5−  

2

​  

)

Sum of zeros a+b=5+  

2

​  

+5−  

2

​  

=10

Product of zeros ab=(5+  

2

​  

)(5−  

2

​  

)=25−2=23

Hence,  

Quadratic equation is

x  

2

−(a+b)x+ab

=x  

2

−10x+23

Answered by surya5299
1

Answer:

Sum of zeroes = 5+2√3 + 5-2√3

= 5 + 5

= 10

product of zeroes = (5+2√3) (5-2√3)

= (5)² - (2√3)²

= 25 - 4×3

= 25-12

= 13

Quadratic polynomial =

x² - 10 + 13 is the required polynomial.

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