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3 years ago

Write a polynomial equation of degree 4 that has the following roots : -1 repeated three times and 4

Mathematics

1 answer:

Radda [10]3 years ago

6 0

Answer:

x^4 -x^3 -9x^2 -11x -4

Step-by-step explanation:

We can use the zero product property

(x-a) (x-b) (x-c) (x-d) where a b c d are the roots

(x- -1)(x- -1)(x- -1) ( x-4) since the root -1 is repeated 3 times and 4 is a root

(x+1)(x+1)(x+1) ( x-4)

Foil the first two terms and the last two terms

(x^2 + 2x+1)( x^2 -3x-4)

Foil again

x^4 -3x^3 -4x^2 +2x^3 -6x^2 -8x +x^2 -3x-4

Combine like terms

x^4 -x^3 -9x^2 -11x -4

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Answer:

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Step-by-step explanation:

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2 years ago

An electrical shop reduces display goods by 20%. A display TV is sold for £200. What is the usual price of the same TV?

Fynjy0 [20]

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2 years ago

Eve is making a bird house. To make the walls she takes a piece of wood and cuts it into 4 pieces in the ratio 5:6:6:7. The long

allsm [11]

Answer:

The original piece of wood is 108 cm

Step-by-step explanation:

From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7

Let the original piece of wood be x

so the sum of the ratios will be;

5 + 6 + 6 + 7 = 24

the shortest length would be 5/24 * x

= 5x/24

the longest will be 7/24 * x = 7x/24

From the question;

7x/24 -5x/24 = 9

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4 0

2 years ago

Number 2 I need help on how to solve it

Hunter-Best [27]

Let's simplify the following expression:

$\text{ }\frac{\text{ \lparen2x}^4\text{ - y}^6\text{z}^{-4})^2}{\text{ 2x}^2\text{z}^3}\text{ }\cdot\text{ }\frac{\text{ 6x}^5\text{y}^{-4}\text{z}^{-5}}{\text{ \lparen2x}^6\text{y}^3\text{z}^{-3})^2}$

We get,

$\text{ }\frac{(\text{2x}^4\text{ - y}^6\text{z}^{-4})^2}{\text{ 2x}^2\text{z}^3}\text{ }\cdot\text{ }\frac{6x^5y^{-4}z^{-5}}{(2x^6y^3z^{-3})^2}$ $\text{ }\frac{(2x^4-y^6z^{-4})^2(6x^5y^{-4}z^{-5})}{(2x^2z^3)(2x^6y^3z^{-3})^2}$ $\text{ }\frac{(4x^8\text{ - 4x}^4y^6z^{-4}\text{ + y}^{12}z^{-8})(6x^5y^{-4}z^{-5})}{(2x^2z^3)(4x^{12}y^6z^{-6})}$ $\text{ }\frac{24x^{13}y^{-4}z^{-5}\text{ - 24x}^9y^2z^{-9}\text{ + 6x}^5y^8z^{-13}}{8x^{14}y^6z^{-3}}$

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9 months ago

A compound event consists of a certain event, an event with probability 1/4, and then an impossible event. What is the probabili

Verdich [7]

Thank you for posting your question here at brainly. Feel free to ask more questions.

The best and most correct answer among the choices provided by the question is 0 (zero). 

Hope my answer would be a great help for you.

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2 years ago

Read 2 more answers