Explain how to determine the zeros of f(x)=x(x+12)(x-7)

The zeros are -12,0,7

Step-by-step explanation:

Set the equation equal to zero

f(x)=x(x+12)(x-7)

0 =x(x+12)(x-7)

Using the zero product property

0 =x  0 = x+12    0 = x-7

Solve each equation

x=0     x = -12     x=7

The zeros are -12,0,7

Set each term equal to zero.

x = 0

x + 12 = 0. Subtract 12 from each side.

x = -12

x - 7 = 0. Add 7 to each side.

x = 7.

x = 7, -12, 0

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)