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Delicious77 [7]
3 years ago
11

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =

(x + 2i)(x + 3i) f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i) f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)
Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Answer:

P(x)=(x-2i)(x-3i)

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

P(x)=a(x-x1)(x-x2)...(x-xn)

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

P(x)=1(x-2i)(x-3i)

\mathbf{P(x)=(x-2i)(x-3i)}

jeyben [28]3 years ago
4 0

Answer:

a

Step-by-step explanation:

edge

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Square root of 75 plus square root of 3
olya-2409 [2.1K]
Answer:
6√3

Explanation:
Before we begin, remember the following:
\sqrt{a*b} = \sqrt{a}  *  \sqrt{b}
m \sqrt{a} + n \sqrt{a}  = (m+n) \sqrt{a}

Now, for the given:
75 can be written as 25*3
This means that:
\sqrt{75} = \sqrt{25*3}
Applying the above concept, we can find that:
\sqrt{75} = \sqrt{25*3} = \sqrt{25}  *  \sqrt{3}
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Solve 3(4x-1)=12x +7
telo118 [61]

Answer:

there are no solutions

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A candy store sells 7 packs of bubble gum for $29.33. How much would it cost to buy 3 packs?
alexira [117]

Hi there,

Recall how 7 packs for gum sell for $29.33.

Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.

The cost of 1 pack of gum is the current total cost divided by the total amount of gum packs you receive at that price.

In this case, the total cost is $29.33, and we receive 7 gum packs at that price.

Therefore, the cost of 1 pack of gum is \frac{29.33}{7}, which equates to $4.19.

We now know that each pack of gum costs $4.19.

Hence, 3 packs of gum would cost three times that price.

4.19 * 3 = 12.57

The cost of 3 packs of gum is $12.57.

Hope that helps!

5 0
3 years ago
Read 2 more answers
A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
Studentka2010 [4]

Answer:

2.5 x 10^{15} miles

Step-by-step explanation:

We are given that 1 light year ≈ 5.9 x 10^{12} miles so:

  • 4.3 x 10² light year · <u>5.9 x </u>10^{12}<u> miles </u>                                                                                                
  •                                    1 light year

Multiply 4.3 an 5.9 and round to 2 significant digits then add the exponents:

                                              ≈25 x 10^{14}

This is not the scientific notation since the number is not between 0 and 10 so we move the decimal point by 1 place to the left. We then add 1 to the exponent to obtain the final answer:

                                                  ≈ 2.5 x 10^{15} miles

6 0
3 years ago
The picture is the answer i forgot it last time
igor_vitrenko [27]
C is your answer

because (4, -6) is true, and it lies on both lines, which makes both equations true

hope this helps
3 0
3 years ago
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