Question

Find zeroes of the following functions.
g(x)=x2-11x+10

Answer 1

x = 1

x = 10

Explanation:

x² - 11x + 10

= (x - 1)(x - 10)

= x² - 10x - x + 10

= x² - 11x + 10

x - 1 = 0

x = 1

x - 10 = 0

x = 10

Answer 2

x=10 x=1

Explanation:

g(x)=x^2-11x+10

Set equal to zero to find the zeros

0=x^2-11x+10

Factor

What two numbers multiply to 10 and add to -11

-10*-1 = 10

-10+-1 = -11

0= (x-10) (x-1)

Using the zero product property

x-10=0 x-1=0

x=10 x=1