Write a quadratic function with zeroes 3 and 7. Write your answer using the variable x and in standard form with a leading coefficient of 1.

Answer 1

The zeros of the quadratic are 3,7, so in factored form the polynomial is:

(x-3)(x-7)

In general form, it is

x²-10x+21

a=1

b=-10

c=21

To convert this to standard form, we need to write it as:

a(x-h)² + k

a=1

h=-b/2a=10/2=5

k=c - b²/4a=21- (100/4)=21-25=-4

Therefore the equation can be written in standard form:

(x-5)²+4

Answer 2

y=1(x-3)(x-7)

in standard form this is y=x^2-10x+21