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Tanya [424]
3 years ago
12

Please help me i need the answer right now. The lesson is Rational Root Theorem.

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Step-by-step explanation:

1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the

  • x+4.(3x+1)(x)
  • The volume is 720.
  • Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is

(3x + 1)(x + 4)

(3 {x}^{2}  + 13x + 4)x = 720

Multiply it by x.

3 {x}^{3}  + 13 {x}^{2}  + 4x = 720

3{x}^{3}  + 13 {x}^{2}  + 4 x - 720

The possible roots

The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be

x = 5

2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.

Let check via synethic division to see which are roots.

Let try 1 and -1 first. If we plug 1 into the equation, we get

1 - 2 - 5 + 6 = 0

So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in

{x}^{2}  - x - 6

We can then factor this into

(x - 3)(x + 2)

So our roots or factors is

(x - 1)(x - 3)(x + 2)

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AveGali [126]

3 and 4

Step-by-step explanation:

y=5x

y=5(0)

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5 0
2 years ago
What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​
lbvjy [14]

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4

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Hence,  

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​

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8 0
2 years ago
How do you find the length of a diagonal right triangle ?
V125BC [204]
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77julia77 [94]
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Gracie has 5 quarters 4 nickels and 1 penny in her pocket. She selects a coin at random. What is the probability of selecting a
irina1246 [14]

Answer:

2/5

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The answer is 2/5.

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3 years ago
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