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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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$ 100

Step-by-step explanation:

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2 years ago
In a triangle the measurements of the angles are x°, ( x + 6)°, (2x + 10)°, and the sum of the three angles of a triangle is 180
34kurt

Answer:

largest angle = 92°

Step-by-step explanation:

Since the measurement of the angles are;

x°, ( x + 6)°, (2x + 10)°

And we know that sum of angles in a triangle is 180. Thus;

x + (x + 6) + (2x + 10) = 180

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4x = 180 - 16

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The other two angles will be;

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Which gives;

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7 0
3 years ago
Sam is 5 years old. His older brother Tom, is three times as old as Sam. When Sam is 20, how old will Tom be?
GrogVix [38]

Answer:

60

Step-by-step explanation:

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6 0
3 years ago
Which of the following is an improper fraction?
Mnenie [13.5K]

Answer:

8/7

Step-by-step explanation:

8/7 because the numerator is greater than the denominator.

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Read 2 more answers
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