(6m^3 -16m^2 + 15m - 40) / (2m^2 + 5)

Mathematics

1 answer:

Helen [10]3 years ago

4 0

6m3 - 16m2 + 15m - 40 Simplify ————————————————————— 2m2 + 5 Checking for a perfect cube :

4.1 6m3 - 16m2 + 15m - 40 is not a perfect cube

Trying to factor by pulling out :

4.2 Factoring: 6m3 - 16m2 + 15m - 40

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 15m - 40
Group 2: -16m2 + 6m3

Pull out from each group separately :

Group 1: (3m - 8) • (5)
Group 2: (3m - 8) • (2m2)
 -------------------
Add up the two groups :
 (3m - 8) • (2m2 + 5)
Which is the desired factorization

3m-8 is the answer

You might be interested in

I think I'm struggling to find the inverse for this one:

USPshnik [31]

Recall that the derivative of a constant is 0.

$\bf y=x^2-4x+4\implies y=(x-2)^2\implies \stackrel{inverse}{x=(y-2)^2}
\\\\\\
\sqrt{x}=y-2\implies \sqrt{x}+2=y\implies x^{\frac{1}{2}}+2=y
\\\\\\
\cfrac{1}{2}x^{-\frac{1}{2}}+0=\cfrac{dy}{dx}\implies \cfrac{1}{2}x^{-\frac{1}{2}}=\cfrac{dy}{dx}$

5 0

3 years ago

Find The Volume And Surface Area!

KATRIN_1 [288]

Answer:

I'm sorry the pic isn't loading for meee but I wish u all the best

8 0

3 years ago

The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma

Sladkaya [172]

Answer:

Step-by-step explanation:

1710/125 = 13.68

You need

125 x 13 = 1710

A student could take 13 credits.

8 0

3 years ago

Tools used to physically represent numbers

Rashid [163]

Answer:

The most frequently employed tools are traditional, which include physical ... These three tools can be used independently or conjointly, depending on the type of ... Learning tools can represent mathematical ideas in multiple ways, providing ... nature of concepts, such as numbers, thereby making them real and tangible,...

Step-by-step explanation:

8 0

3 years ago

If a clock takes 2 seconds to strike twice at 2’o clock, then how much time will it take to strike thrice at 3’o clock ?

zzz [600]

Clock strikes once at one o clock, twice at two o clock, thrice at three o clock and so on. how many times will it strikes for 24 hours. this is a question for time word problem. if u know the answer please write it here.

5 0

3 years ago