Please help for brainliest!!:)

Mathematics

1 answer:

grandymaker [24]2 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.

Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...

P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))

P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)

P(x) = x^4 +3x^3 -10x^2 -10x

You might be interested in

Half a number is at least 2 units from 20. write the sentence as an absolute value inequality

Anuta_ua [19.1K]

Answer:

|1/2x - 20| ≥ 2

Step-by-step explanation:

The number is half of two and at least two units away.

8 0

3 years ago

Read 2 more answers

In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want

bixtya [17]

Answer:

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

$M.E = z * \sqrt{\frac{p*(1-p)}{n} }$ where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

$M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543$

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

5 0

3 years ago

Kevin says that “a line segment is the part of a line containing two endpoints.” What additional information is needed to make t

kakasveta [241]

The statement "That does not extend in both directions." will make the definition, precise.

Kevin's line segment definition is correct.

However, the end points in a line segment implies that the line segment does not extend past its two end points.

So, to make it precise;

Kevin needs to include that the line segment does not extend in both directions, in the definition.

Hence, option (c) is correct.