Question

10. Sum and product of zeroes of quadratic polynomial are 5 and 17 respectively. Find the polynomial.​

Answer 1

Step-by-step explanation:

Let the polynomial be ax^2 + bx + c

the sum of polynomial is -b/a =5

the product of polynomial is c/a = 17

let a =1

then

polynomial will be x^2 - 5x + 17=0

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Answer 2

Given,

➜ sum of zeroes = 5

➜ product of zeroes = 17

To Find,

➜ the quadratic polynomial whose sum of zeroes and product of zeroes are 5 and 17 respectively.

Solution,

We know,

p(x) = x² - (sum of zeroes)x + (product of zeroes)

==> p(x) = x² - (5)x + (17)

==> p(x) = x² - 5x + 17