Question

Quadratic polynomial which has zeros at 7 and 3?

Answer 1

Answer:

x^2 - 10x + 21

Step-by-step 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,

$\hookrightarrow \: {x}^{2} - (7 + 3)x + (7 \times 3)$

$\hookrightarrow \: {x}^{2} - 10x + 21$