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devlian [24]
3 years ago
10

Form a polynomial function(x) with zeros: -2, multiplicity 1; 1, multiplicity 2; 5, multiplicity 3; and degree 6. Use 1 as the l

eading coefficient and leave the function in factored form.
Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

Remember, a number a is a zero of the polynomial p(x) if p(a)=0. And a has multiplicity n if the factor (x-a) appear n times in the factorization of p(x).

1. Since -2 is a zero with multiplicity 1, then (x+2) is a factor of the polynomial.

2. Since 1 is a zero with multiplicity 2, then (x-1) is a factor of the polynomial and appear 2 times.

3. Since 5 is a zero with multiplicity 3, then (x-5) is a factor of the polynomial and appear 3 times.

Then, the polynomial function with the zeros described above is

p(x)=(x+2)(x-1)^2(x-5)^3= x^6-15x^5+72x^4-78x^3-255x^2+525x-250

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In 1911, the temperature in Rapid City,
Sliva [168]

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<h3>How can the change in temperature be found from the rate of change?</h3>

The rate at which the temperature changed = 3.1 °F/min

The duration of the change in temperature = 15 minutes

The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

3.1  ^{\circ} F/min =  \frac{ \delta T }{\delta t}  =  \frac{ \Delta T }{ \Delta t}

Where;

∆T = The required change in temperature

∆t = The duration of the change = 15 minutes

Which gives;

∆T = 3.1°F/min × 15 minutes = 46.5 °F

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8 0
1 year ago
What is the factored form of 64g^3 +8?<br>​
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Step-by-step explanation:

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3 years ago
4 red balls 4 white balls what is the probability of drawing at least 1 red ball if two balls are drawn
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The probability of drawing at least one red ball is:
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7 0
3 years ago
What is the percent increase between getting a high school scholarship and bachelors degree when high school scholarship is $421
gogolik [260]

Answer:

The percent increase between getting a high school scholarship and bachelor's degree is <u>59.14%</u>.

Step-by-step explanation:

Given:

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Bachelor's degree is $670.

Now, to find the percent increase between a high school scholarship and bachelor's degree.

So, we get the amount of increase between a high school scholarship and bachelor's degree.

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<em>Thus, the amount of increase = $249</em>.

Now, to get the percent increase between a high school scholarship and bachelor's degree:

\frac{249}{421}\times 100

=\frac{24900}{421}

=59.14\%.

Therefore, the percent increase between getting a high school scholarship and bachelor's degree is 59.14%.

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Abel is 3 years older than Zoe.
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