Question

Write a quadratic function f whose zeros are 7 and 3

Answer 1

The quadratic function f whose zeros are 7 and 3 is x^{2}-10 x+21=0

`x^(2)-10 x+21=0`

Step-by-step explanation:

Given:

Zeros of the quadratic equation= 7 and 3

To find :

Quadratic equation

Solution:

The equation can be formulated in the following form:

`x^(2)-(\text {sum of zeroes }) * x+(\text {product of zeroes })=0`

`x^2-(sum of zeroes) *x+(product of zeroes) = 0`

`x^(2)-(7+3) x+(7 * 3)=0`

`x^(2)-(10) x+21=0`

`x^(2)-10 x+21=0`

Result:

Thus the quadratic equation with zeros as 7 and 3 is

`x^(2)-10 x+21=0`