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Vlad [161]
3 years ago
5

What is the completely factored form of this polynomial? 18x^3 – 120x^2 – 42x

Mathematics
2 answers:
Nookie1986 [14]3 years ago
8 0
The completely factored form is 6x(3x+1)(x-7)
lyudmila [28]3 years ago
4 0

Answer:

6x(3x + 1)(x - 7) .

Step-by-step explanation:

First look for the greatest common factor of the 3 terms.

It is 6x, so

18x^3 – 120x^2 – 42x

= 6x(3x^2 - 20x - 7)

Now we look to factor the quadratic expression in the parentheses:

Use the 'ac' method:

The first and last coefficients are multiplied

3 * -7 = -21.

We look for 2 numbers whose product is -21 and whose sum is -20:

They are -21 and + 1 , so we write:

6x(3x^2 - 21x + 1x - 7)

= 6x [ (3x(x - 7) + 1(x - 7)]    Note that x - 7 is common, so:

= 6x(3x + 1)(x - 7)  Answer

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Which restaurant has the greater rate of change?<br><br> A) Juice Jammers<br> B) Bob's Burgers
hodyreva [135]

Answer:

The answer is Juice Jammers

Step-by-step explanation:

To determine which has a greater rate of change calculate out the rate of change for Juice Jammers. In order to do so, we use the first two points in the table and the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (29.25 - 0)/(25 - 0)

m = 29.25/25

m = 1.17

This gives Juice Jammers a higher rate of change than Bob's Burgers

7 0
3 years ago
I needs help with it please ​
BARSIC [14]

Answer:

d.  ΔMNO

Step-by-step explanation:

In geometry, two figures are <u>congruent</u> if they are the <u>same shape and size</u> (they can also be a mirror image of each other).  If they are the same shape but a <u>different size</u> (e,g, one is an enlargement or reduction of the other), then they are <u>similar</u>.

All the given triangles have the same interior angles, so we need to find a triangle with the same side lengths as ΔABC.  

The only triangle that has the same side length as ΔABC is ΔMNO:
they both have bases of 8cm.

Therefore, ΔMNO is congruent to ΔABC.

5 0
2 years ago
Select all the factors of: 7x2 − 28 options: 7 7x (x + 2) (x − 2) (x2 + 4)
Salsk061 [2.6K]

Answer:

7(x-2)(x+2)

Step-by-step explanation:

7x^2 -28

Factor out a 7

7(x^2 -4)

The terms inside the parentheses is the difference of squares, so it is factorable  (a^2-b^2) = (a-b)(a+b)

7(x-2)(x+2)

8 0
3 years ago
Is -2.7 an irrational number
ololo11 [35]

Answer:

No

Step-by-step explanation:

An irrational number is a number that never ends or repeats. This decimal ends and it doesn't repeat.

6 0
3 years ago
Read 2 more answers
PLEASE HELP AS SOON AS POSIBLE
Tema [17]
I believe the answer should be f-there are 3/4 times as many cups of flour as there are cups of sugar
8 0
3 years ago
Read 2 more answers
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