Write the sum and products of zeroes of the polynomial 5x square -5x +7 without finding the zeroes
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Answer:
- sum of zeroes = 1
- product of zeroes = 7 / 5
Step-by-step explanation:
we are given with a quadratic polynomial ,
- 5 x² - 5 x + 7
we need to find the sum and products of zeroes of this given polynomial without actually finding the zeroes
________________________________
For a quadratic polynomial of the form
- a x² + b x + c
↦ sum of zeroes = - b / a
↦ product of zeroes = c / a
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so,
Comparing 5 x² - 5 x + 7 with a x² + b x + c
we will get,
- a = 5
- b = - 5
- c = 7
Now,
→ sum of zeroes of given polynomial
= - b / a
= - ( - 5 ) / 5
= 1
therefore,
sum of zeroes = 1
and,
→ product of zeroes of given polynomial
= c / a
= 7 / 5
therefore,
product of zeroes = 7 /5 .
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