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Novosadov [1.4K]
2 years ago
10

What is the result when the sun 4x^2+8x-1 and 7x^2-3x+8 is multiplied by 5x^2?

Mathematics
1 answer:
Agata [3.3K]2 years ago
5 0

Answer:

55x^4+25x^3+35x^2

Step-by-step explanation:

5x²(4x^2+8x-1 and 7x^2-3x+8)

Applying distribution property,we have

  • 5x^2(4x^2+8x-1 + 7x^2-3x+8)
  • (5x^2)*(4x^2)+(5x^2)*(8x)+(5x^2)*(-1)+(5x^2)(7x^2)+(5x^2)*(-3x)+(5x^2)*(8)

Simplifying them,we have

  • 20x^4+40x^3−5x^2+35x4−15x^3+40x^2
  • 55x^4+25x^3+35x^2
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Is he square root of -144 rational or irrational?
gladu [14]

Answer:

Step-by-step explanation:

Neither.

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The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.

3 0
3 years ago
Please help I'm lost.
vova2212 [387]

Part 1: Answer:

(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6

Step-by-step explanation:

To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.

(6+1)(6+1)(6-6) is zero.


Part 2 Answer:

Standard form: y = -x^4 + 12

Degree 4

left end goes down, right end goes down.

Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.


Part 3: Answer: x = 3, x = 8

Step by step:

x^2-11x = -24

x^2-11x+24 = 0

(x-3)(x-8) = 0

x = 3 or x = 8


Part 4a Answer:

quotient 2x^2 + x - 3

remainder 1


Step by step:

2x^2 + x - 3

___________________

x-4 ) 2x^3 - 7x^2 - 7x + 13

2x^3 - 8x^2

__________

0 + x^2 - 7x + 13

x^2 - 4x

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- 3x + 12

______

1


Part 4b answer:

quotient 2x^2 - 6x + 2

remainder -20


Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.


dividend 2x^3 +14x^2 - 58x

divisor x+10

leading coefficient of divisor must be 1

write coefficients of dividend at top

write coefficients of dividend at left


| 2 14 -58 0

-10 | -20 60 -20

___________

| 2 -6 2 -20

Coefficients of quotient are 2 -6 2

Remainder is -20

quotient = 2x^2 - 6x + 2



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3 years ago
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Answer:

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Step-by-step explanation:

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Andrej [43]
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Answer:

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