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3 years ago

Zeros of polynomials (with factoring

Mathematics

2 answers:

Anon25 [30]3 years ago

3 0

Answer:

x = -5/2 x=1 x = -1

Step-by-step explanation:

p(x) = 2x^3 + 5x^2 – 2x – 5

Use factor by grouping

p(x) = 2x^3 + 5x^2 – 2x – 5

Factor x^2 from the first group and -1 from the second group

x^2(2x +5) -1( 2x+5)

Then factor out 2x+5

p(x) = (2x+5) (x^2-1)

Factor x^2 -1 as the difference of squares

p(x) = (2x+5)(x-1)(x+1)

Set to zero to find the x intercepts

0 = (2x+5)(x-1)(x+1)

Using the zero product property

2x+5 =0 x-1 =0 x+1 =0

2x = -5 x=1 x=-1

x = -5/2 x=1 x = -1

kirill115 [55]3 years ago

3 0

Answer:

The zeroes are (-1,0), (1, 0) and (-5/2, 0)

Step-by-step explanation:

We can find the zeroes by factoring:

2x^3 + 5x^2 - 2x - 5 = 0

x^2(2x + 5) - 1(2x + 5) = 0

(x^2 - 1)(2x + 5) = 0

(x - 1)(x + 1)(2x + 5) = 0

So x = -1, 1, -5/2.

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kap26 [50]

Answer:

$\mu = 47.17$

$\sigma = 2.31$

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

$\mu = \frac{\sum x}{n}$

So, we have:

$\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}$

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Solving (b): The population standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}$

So, we have:

$\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}$

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3 years ago

I need help with this Asap

12345 [234]

The answer should be 4 because it's like 8 - 4. You just subtract the number with the higher absolute value, which is 8 in this situation. Since the 4 is negative, you subtract.

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4 years ago

Christy purchased 6.75 pounds of red licorice and 2.37 pounds of black licorice. How much licorice does she need to put in a bag

Vinvika [58]

Answer: The amount she puts in a bag = 0.912 pound.

Step-by-step explanation:

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Total amount of licorice purchased by Christy = 6.75 + 2.37 pounds

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Then, if she divides the total amount into 10 equal-sized bags , the amount she put in a bag = (Total amount of licorice purchased) ÷ 10

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Anvisha [2.4K]

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3 years ago