Question

Is (x + 4) one of the factors of 3x2 + 4x – 4 ?

Answer 1

do know how to factor or do synthetic division?

Answer 2

Easy way to do this is to use the factor theorem. That's very easy.

Answer 3

If x - k is a factor, then k is a zero of the function.

Answer 4

no it is not
6+4x-4=2+4x
and x+4 cant be its factor

Answer 5

yes, unless teacher had other intentions

Answer 6

So, -4 must be a zero of the function.

Answer 7

Just put x = -4 in the given expression and check whether its value is becoming 0 or not..

Answer 8

\( \color{Black}{\Rightarrow 3(-4)^2 + 4(-4) - 4 = 0?}\)

Answer 9

Oh, wait, are the factors: (3x - 2) and (x - 2)?

Answer 10

yes
that is right

Answer 11

known as the slide and divide method of factoring