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yarga [219]
3 years ago
13

Is there a way to simplify the process of plugging in factors through synthetic division to find the zeros of a polynomial? I am

aware of Descarte's Rule of Signs, but is there any other way to make it faster than guess-and-check?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
Yes you can use the discriminant of a quadratic/polynomial. For instance, if
b^2 - 4ac = 0 there is one real root. If b^2 - 4ac > 0 there are two real roots and ib^2 - 4ac < 0  there are no real roots

The discriminant comes from the quadratic equation, which is the following.
x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}
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How many digits are there in the smallest sequence of repeating digits in the decimal equivalent.
Step2247 [10]

the answer is 4

but I'm not for sure

7 0
4 years ago
Find the slope of the line that passes through (23, -30) and (-7, 18).
babymother [125]

Answer:

slope = - \frac{8}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)

m = \frac{18-(-30)}{-7-23} = \frac{18+30}{-30} = \frac{48}{-30} = - \frac{8}{5}

6 0
3 years ago
A school administrator is interested in estimating the proportion of students in the district who participate in community servi
jarptica [38.1K]

Answer: option 1

Step-by-step explanation: By constructing a 99% confidence interval for population proportion, it implies that the principal is 99% sure that the confidence interval will contain the population proportion.

When we construct confidence interval, we do so to show that the population parameter that we are looking for is present in the interval at a specified confidence level.

4 0
4 years ago
Verify the equation below with each of the values listed for z to find a solution . 3-2z=1/10
ziro4ka [17]

3-2z=\frac{1}{10} \\30-20z=1\\-20z=-29 \\z=\frac{-29}{-20} \Longrightarrow z=\boxed{1.45}

8 0
3 years ago
Read 2 more answers
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
Strike441 [17]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

8 0
3 years ago
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