Question

find a quadratic polynomial the sum of whose zeros is 0 and one zero is 5.​

Answer 1

Answer:

Sum of zeros =0

given one zero is 5

therefore other zero is -5

formula of Polynomial is

${x}^{2} - sum \: of \: zero \times x + product \: of \: zero \: \\ {x}^{2} - 0x + 5 \times ( - 5) \\ {x}^{2} - 25$

Answer 2

The required quadratic polynomial is $x^2-25=0$

Step-by-step explanation:

Given : The sum of whose zeros is 0 and one zero is 5.​

To find : A quadratic polynomial ?

Solution :

Let $\alpha$ and $\beta$ are the zeros of the quadratic polynomial of form $x^2-(\alpha+\beta )x+\alpha \beta=0$ .....(1)

The sum of zeros is $\alpha+\beta =0$

One zero is 5 let $\alpha=5$

Put in sum of zero,

$5+\beta =0$

$\beta =-5$

Substitute in (1),

$x^2-(0)x+5\times (-5)=0$

$x^2-25=0$

Therefore, the required quadratic polynomial is $x^2-25=0$

#Learn more

Find a quadratic polynomial the sum of whose zeros is 0 and one zero is 5.​

https://brainly.in/question/10063690