Question

Show that if 3x+4 is a factor of some polynomial function f then -4/3 is a zero of function

Answer 1

The zeros of a polynomial function are the roots of the polynomial function.

See below for the proof that: $\mathbf{f(-\frac{4}{3}) = 0}$

Let the function be f(x).

Equate 3x + 4 to 0.

So, we have:

$\mathbf{3x+ 4 = 0}$

Subtract 4 from both sides

$\mathbf{3x= -4}$

Divide both sides by 4

$\mathbf{x= -\frac{4}{3}}$

The above equation means that:

If 3x + 4  is a factor of f(x), then:

$\mathbf{f(-\frac{4}{3}) = 0}$

Read more about zeros of a polynomial at;

https://brainly.com/question/3331729