The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
-------------
Answer: (x^2-6)(x+5)
The answer is C)i, ii, iii, iv
Answer:
x= -11.9
Step-by-step explanation:
-8 - 3.9 = -11.9
-11.9+ 3.9 = -8
Answer:

Step-by-step explanation:
Given


![Interval: [1,8]](https://tex.z-dn.net/?f=Interval%3A%20%5B1%2C8%5D)

Required
Find c using Intermediate Value theorem
First, check if the value of M is within the given range:







M is within range.
Solving further:
We have:


Substitute 21 for f(x) in 

Express as quadratic function


Expand



or 
or 
The value of
is outside the ![Interval: [1,8]](https://tex.z-dn.net/?f=Interval%3A%20%5B1%2C8%5D)
So:



By comparison:

Answer:
4.) 6
5.)
Step-by-step explanation:
4.
PEMDAS
Parenthesis, Exponents, Multiplication, Division, Adition, Subtraction.
3 + 27 ÷ ( 4 + 5 )
Do the parenthesis first ( 4 + 5 )
3 + 27 ÷ 9
Do the division next ( 27 ÷ 9)
3 + 3
Now addition.....( 3 + 3)
6
__________________________________________________________
5.

In order to find the sum between these 2 fractions, we need to find a common denominator, and in this case, it can be 15...


Now that we have a common denominator, we can add them up...

is ur answer.
Hope this helped!
Have a supercalifragilisticexpialidocious day!