Question

the sum and product of two zeros of a quadratic polynomial -1|5 and -7 respectively write the polynomial

Answer 1

this is the answer of this question....

Answer 2

Polynomial p(x) = ${x}^{2} - (sum \: of \: zeroes)x + (product \: of \: zeroes)$

Here ,

$sum = \frac{ - 1}{5} \\ \\ product \: = - 7$

so the polynomial is

$p(x) = {x}^{2} + \frac{1}{5} x - 7 \\ \: \: \: \: \: \: \: \: \: \: = \frac{5 {x}^{2} + x - 35}{5}$