Identify all of the roots of the function. f(x) = x3 – 5x2 – 2x + 24

–2

–3

2

3

4

Roots are -2, 3, and 4

Step-by-step explanation:

Let's use the rational roots test.

Starting with the constant term (24), the roots are 1, 2, 3, 4, 6, 8, 12, and 24 (both positive and negative).

Starting with 2.

8 - 20 - 4 + 24 = 8 (so 2 is not a root).

Let's try 3.

27 - 45 - 6 + 24 = 0 (so 3 is a root).  (x-3) is a factor.

Now we can divide x3-5x2-2x+24 by x-3 to get a polynomial.

x3-5x2-2x+24 / x-3

x2 - 2x - 8 = (x-4)(x+2)

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have