Math, asked by solomonraj64, 9 months ago

Write the sum and products of zeroes of the polynomial 5x square -5x +7 without finding the zeroes ​

Answers

Answered by Cosmique
44

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

________________________________

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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