Question

Identify the zeros of f(x) = (x-7)(x+4)(3x-2)

A 4, 2/3, 7
B -4,2/3,7
C-4,-2/3,-7
D-4,2/3,-7

Answer 1

B

Explanation:

f(x) = (x - 7)(x + 4)(3x - 2)

to find the zeros equate f(x) to zero , that is

(x - 7)(x + 4)(3x - 2) = 0

equate each factor to zero and solve for x

x - 7 = 0 ( add 7 to both sides )

x = 7

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

3x - 2 = 0 ( add 2 to both sides )

3x = 2 ( divide both sides by 3 )

x =
`(2)/(3)`

zeros are x = - 4 ,
`(2)/(3)` , 7 ← B