Question

Quadratic polynomial which has zeros at 7 and 3?

Answer 1

x^2 - 10x + 21

Explanation:

Sum of zeros

= 7 + 3

= 10

Product of zeros

= 7 x 3

= 21

x^2 - ( sum of zeros )x + product of zeros

= x^2 - 10x + 21

The Quadratic polynomial is x^2 - 10x + 21.

Answer 2

if the zeroes of a quadratic polynomial are a and b, then the polynomial can be written as :

`\boxed{{x}^(2) - (a + b)x + ab}`

So,

`\hookrightarrow \: {x}^(2) - (7 + 3)x + (7 * 3)`

`\hookrightarrow \: {x}^(2) - 10x + 21`