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aleksandrvk [35]
2 years ago
8

Factor the polynomial: a^4+2a^3-a-2

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
6 0

Answer:

(a-1) *(a^2 +a-1) (a+2)

Step-by-step explanation:

a^4+2a^3-a-2

Lets factor by grouping

a^4-a +    2a^3-2

Factor out an a from the first group and a 2 from the second group

a(a^3 -1)  +2(a^3-1)

Factor out (a^3-1)

(a^3-1)(a+2)

We need to recognize that a^3-1 is the difference of cubes

(x^3-y^3) = (x-y) (x^2+xy+y^2)

Let x=a  and y=1

(a-1) *(a^2 +a-1) (a+2)

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PL HELP !!!!!!!!!Chris is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet d
marissa [1.9K]

The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.

Step-by-step explanation:

The given is,

              Dimensions of supply box - 1.5 feet tall, 1 foot wide, and 2 feet deep

              Dimensions of crate - 9 feet high, 10 feet wide, and 10 feet deep

Step:1

             Volume of supply box,

                                 V_{Box} = whl.............................(1)

            Where, w - Width of box

                          h - Height of box

                           l - Length of box

            From the given,

                         h = 1.5 feet

                         w = 1 foot

                           l = 2 feet

            Equation (1) becomes,

                       V_{Box} = (1.5)(1)(2)

                                = 3 cubic feet

                      V_{Box} =3 cubic feet

Step:2

            Volume of crate,

                                 V_{crate} = whl.............................(1)

            Where, w - Width of box

                          h - Height of box

                           l - Length of box

            From the given,

                         h = 9 feet

                         w = 10 foot

                           l = 10 feet

            Equation (1) becomes,

                       V_{Box} = (9)(10)(10)

                                = 900 cubic feet

                      V_{Box} =900 cubic feet

Step:3

            No. of boxes can pack in the crate,

                                               = \frac{Volume of crate}{Volume supply box}

                                               = \frac{900}{3}

                                               = 300 supply boxes

Result:

             The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.

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2 years ago
In the diagram, 1 inch represents 20 feet
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Answer: 10 Feet by 15 Feet

Step-by-step explanation:

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I think its <span>$117,817.20</span>
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Answer:

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Step-by-step explanation:

The pattern is every 2 hours is $15 so 4 hours would be equal to $30

Since 4 hours would equal 30 and we need 12 hours multiplying both numbers by 3 would get you the answer

4x3=12

30x3=90

Making it equal

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2 years ago
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