Question

find all the zeroes of f(x)=x^2+4x

Answer 1

Answer:

0,-4

Step-by-step explanation:

x^2+4x=0

x^2=-4x

x^2/x = -4

x= -4

sum of the roots in a quadratic equation is -b/a

-4 + another root = -4 /1

-4 + another root = -4

   another root = 0

therefore the roots are 0,-4.

Answer 2

f(x) = x^2 + 4x

Rewrite

y = x^2 + 4x

Replace y to 0


x^2 + 4x = 0

Factor out x

x (x + 4) = 0

x = 0, x + 4 = 0

x = 0, x = -4

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

x = 0, x = -4