Question

Find quadratic polynominal whose sum is 5 and product is 1

Answer 1

Step-by-step explanation:

let zeros be a,b

and, a+b= -b/a

ab=c/a

so, -b/a = 5 , c/a = 1

put a=1 then, b= -5, c=1

so polynomial is

x^2 -5x + 1

Answer 2

Answer:

x^2+5x+1

Step-by-step explanation:

given,

sum of roots=

$\alpha + \beta = 5$

product of roots =

$\alpha \beta = 1$

equation=

$p(x) = {x}^{2} + ( \alpha + \beta )x + \alpha \beta$

=x^2+5x+1

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