Question

Determine which binomial is a factor of -4x3 - 19x2 - 15x - 12.
a. x - 15
b. x - 12
c. x - 4
d. x + 4

Answer 1

Use synthetic division

Answer 2

and if i use synthetic division and the remainder is 0 then it means its a factor?

Answer 3

Yes

Answer 4

thanks :)

Answer 5

yw

Answer 6

f(-4) = 0 implies that the polynomial is divisible by x+4.
In fact
\[-4 x^3-19 x^2-15 x-12=-(x+4) \left(4 x^2+3 x+3\right)
\]