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Bumek [7]
2 years ago
13

Factor out the GCF 45c^6+20c^4

Mathematics
2 answers:
tatiyna2 years ago
5 0

Answer:

5c^4( 9c^2 + 4).

Step-by-step explanation:

The GCF of 45 and 20 is 5 and the GCF of c^6 and c^4 = c^4.

So the GCF is 5c^4 and the factors are:

5c^4( 9c^2 + 4)

Musya8 [376]2 years ago
3 0

Answer:

5c^{4} (9c^{2} +4)

Step-by-step explanation:

First we factor out the lowest degree exponent (x^4) out of both sides.  

Then we can factor out the GCF of 45 and 20, which is 5.

We cannot factor anything else out of the equation, so the GCF would be 5c^{4} (9c^{2} +4c)

The process is shown below:

45c^{6} +20c^{4} \\= c^{4}(45c^{2} +20c)\\= 5c^{4} (9c^{2} +4)\\

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Step-by-step explanation:

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A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?
GaryK [48]

Answer:

242 km

Step-by-step explanation:

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so 165 km in 1.5 he is the same as 110 km per hour.

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Quadrilateral KLMN has vertices of K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4) Find the length of MN
Olenka [21]

Answer:

The length of MN is \sqrt{5} units.

Step-by-step explanation:

The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).

We use the distance formula to find the length of MN.

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

We plug in the values to get

|MN|=\sqrt{(-4--2)^2+(-4--5)^2}

|MN|=\sqrt{(-2)^2+(1)^2}

|MN|=\sqrt{4+1}

|MN|=\sqrt{5}

The length of MN is \sqrt{5} units.

3 0
3 years ago
One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the
Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 |  2     -3       -3       2    

 

    <u>         4         2      -2          </u>

     2      1         -1        0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

                           = 2x(x + 1) -1(x + 1)

                           = (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

4 0
3 years ago
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