Answer:
The quadratic function f whose zeros are 7 and 3 is x^{2}-10 x+21=0
[tex]x^{2}-10 x+21=0[/tex]
Explanation:
Given:
Zeros of the quadratic equation= 7 and 3
To find :
Quadratic equation
Solution:
The equation can be formulated in the following form:
[tex]x^{2}-(\text {sum of zeroes }) * x+(\text {product of zeroes })=0[/tex]
[tex]x^2-(sum of zeroes) *x+(product of zeroes) = 0[/tex]
[tex]x^{2}-(7+3) x+(7 * 3)=0[/tex]
[tex]x^{2}-(10) x+21=0[/tex]
[tex]x^{2}-10 x+21=0[/tex]
Result:
Thus the quadratic equation with zeros as 7 and 3 is
[tex]x^{2}-10 x+21=0[/tex]
