find the quadratic polynomial whose zeroes are 2/3and -5/7
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Answered by
11
sum of zeros =2/3+-5/7=-1/21
product of zeros =10/21
quadratic polynomial =x^2-(sum of the zeros )x+product of zeros
= x^2-(-1/21)x+(10/21)
= x^2+1/21x+10/21
product of zeros =10/21
quadratic polynomial =x^2-(sum of the zeros )x+product of zeros
= x^2-(-1/21)x+(10/21)
= x^2+1/21x+10/21
Answered by
2
Step-by-step explanation:
Solution:-
As the zeroes are given, i.e., 7 and -5.
∴ Sum of roots =7+(−5)=7−5=2
Product of roots =7×(−5)=−35
As we know that, a quadratic polynomial whose xeroes are given can be represented as-
x
2
−(sum of roots)x+product of roots=0
⇒x
2
−(2)x+(−35)=0
⇒x
2
−2x−35=0
Hence, the polynomial is x
2
−2x−35=0.
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