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Ann [662]
3 years ago
5

Write a polynomial in factored form that has the given zeros:

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer:

f(x) = (x + 4)^2*(x - 5)^3

Step-by-step explanation:

For a polynomial P(x) with zeros (or roots):

x₁, x₂, ..., xₙ

And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now, some of these roots can be repeated.

For example if x₁ = x₂

Then we say that the root x₁ has a multiplicity of two.

And we write the polynomial as:

P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)

Now, if we have a polynomial with the roots (or zeros):

Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)

Zero at 5 with a multiplicity of 3 (we have the root x = 5  3 times)

(And a leading coefficient A =  1, I assume)

This polynomial will be written as:

f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)^2*(x - 5)^3

The correct option is the third one:

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Answer:

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aivan3 [116]
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3 years ago
Two hours after a truck leaves phoenix traveling 45 miles per hour, a car leaves to overtake the truck. if it takes the car ten
Sergeeva-Olga [200]

Answer:

The correct answer is 54 miles per hour

Step-by-step explanation:

To solve this problem we have to use the formula of

Speed=Distance/time

Both, car an truck made the same distance,  so

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Distance truck =Speed truck*time truck  

Distance car=Distance truck

So Speed car*time car =Speed truck*time truck  

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4 0
3 years ago
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HACTEHA [7]

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3 years ago
-4/5, -1/2, 0.25, -0.2 least to greatest
galina1969 [7]

Answer:

<em>-4/5,-1/2,-0.2,0.25</em>

Step-by-step explanation:

To order these, it would be best to convert them into decimals.

-4/5 is equal to -0.8

-1/2 is equal to -0.5

-0.8 is the least, because the further left on a number line, the less the number is.

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Finally, 0.2 is the greatest

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