Answer:

Step-by-step explanation:
Factorize:

<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:

Therefore, (x - 1) is a factor.
As the polynomial is cubic:

Expanding the brackets:


Comparing coefficients with the original polynomial:



Therefore:

Cannot be factored any further.
Answer:
The diameter is approximately 8.9 cm
Step-by-step explanation:
The circumference is given by
C = pi *d
28 = pi *d
Divide each side by pi
28/pi = d
We can approximate pi by 3.14
28 /3.14 =d
8.917 = d
The diameter is approximately 8.9 cm
Answer:
900 million.
Step-by-step explanation:
It's estimated that there are 900 million dogs in the world, as of 2018.
Step-by-step explanation:
I am going to guest 25 mins
For the second question, your first option is correct, you would rewrite 8 in power-base form 8=2^3 as the first step to solving the equation, power base form is exponential form.