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2 years ago

State the degree and dominant term of this polynomial

Mathematics

1 answer:

artcher [175]2 years ago

4 0

The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²

<h3>The degree of the polynomial?</h3>

The polynomial function is given as:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

To determine the degree, we simply add the multiplicities.

So, we have:

Degree = 1 + 3 + 1 + 1

Evaluate

Degree = 6

Hence, the degree of the polynomial is 6

<h3>The dominant term of the polynomial</h3>

We have:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

Expand

f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x

The term with the highest absolute value is - 216x²

Hence, the dominant term is - 216x²

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The temperatures in five Connecticut cities

jek_recluse [69]

The order of temperatures increasing would be:

-7, -6, -4, -3, 5.

Therefore, the median is -4.

4 0

1 year ago

The standard deviation of the distribution of sample means is _______.

luda_lava [24]

Answer:

Standard error

Step-by-step explanation:

The standard deviation of the distribution of sample means is called the standard error of the means.

It is denoted by: $\sigma_{\bar X}$

The standard error is calculated using the formula: $\sigma_{\bar X}=\frac{\sigma}{\sqrt{n} }$

where n is the sample size and $\sigma$ is the population standard deviation.

6 0

3 years ago

How can this product be simplified 8p(-2p^2+6p-2)

Nikitich [7]

Answer:

-16p³ + 48p² - 16p

Explanation:

In order to simplify the given expression, we need to multiplied 8p with (-2p²+6p-2)

8p*(-2p²+6p-2)

we need to distribute 8p over the brackets or parenthesis.

=8p*(-2p²) + 8p*(6p) + 8p*(-2)

= 8*(-2)*p*p² + 8*6p*p + 8*(-2)* p

= -16p³ + 48p² - 16p

We can't simplify it more, so that's the final answer.

I hope it's help.

8 0

3 years ago

Read 2 more answers

There are 5 candy canes for every 9 presents. How many candy canes are there when there are 108 presents

Ksju [112]

Answer:

When there are 108 presents, there are 60 candy canes

Step-by-step explanation:

candy canes : presents = 5:9

5/9 = x/108

cross multiply:

(5) (108) = 9x

540 = 9x, divide both sides by 9

x = 60

5 0

2 years ago

If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?

just olya [345]

The inequality that represents the domain of the function is $\frac 12x - 10 \ge 0$

<h3>How to determine the domain?</h3>

The function is given as:

$f(x) = \sqrt{\frac 12x - 10} + 3$

Set the radicand greater than or equal to 0

$\frac 12x - 10 \ge 0$

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20

Hence, the domain of the function is x ≥ 20