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Oksana_A [137]
2 years ago
7

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Mathematics
1 answer:
Natalija [7]2 years ago
5 0

Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

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4 0
3 years ago
Read 2 more answers
How many sides does the polygon have?<br> 8<br> 10<br> 12<br> 15
Lynna [10]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Find the surface area of the triangular prism shown below .
Wewaii [24]

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

7 0
3 years ago
If f(x) = 2x² - 6x + 8, find f(a - 2).
yan [13]

Answer: f(a-2) = 2a² - 14a + 28

Step-by-step explanation:

f(x) = 2x² - 6x + 8

you can take a-2 and substitute it for each x, which would look like this:

f(a-2) = 2(a-2)² - 6(a-2) + 8

then distribute those in ( )

f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8

combine like terms

f(a-2) = 2a² - 14a + 28

7 0
2 years ago
What is the distance between points A and B shown in the graph below
Bas_tet [7]

Answer:

D = 7\sqrt 2

Step-by-step explanation:

Given

A = (-3,-4)

B = (4,3)

Required

The distance between them

This is calculated as:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, we have:

D = \sqrt{(3-(-4))^2+(4-(-3))^2}

D = \sqrt{7^2+7^2}

D = \sqrt{2(7^2)}

D = 7\sqrt 2

3 0
3 years ago
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