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givi [52]
4 years ago
14

Find a polynomial with a degree of 3 and zeros -3,3,5

Mathematics
1 answer:
Aliun [14]4 years ago
6 0

Answer:

f(x) = x³ - 5x² - 9x + 45

Step-by-step explanation:

Given x = a, x = b are the zeros of a polynomial, then

(x - a), (x - b) are the factors and f(x) is the product of the factors.

Here the zeros are x = - 3, x = 3 and x = 5, thus

(x + 3), (x - 3) and (x - 5) are the factors and

f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL

     = (x² - 9)(x - 5) ← distribute

    = x³ - 5x² - 9x + 45

   

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2 + n = 24 pls help for home work
eimsori [14]

To find the value of n, we need to subtract 2 from 24. 24 - 2 = 22.

So, n = 22.

6 0
3 years ago
Plz help asap......................................
ziro4ka [17]

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

c^2=a^2+b^2-2abcos\theta

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Given ∠P and the sides r, q are known.

<u>To find the value of p:</u>

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

7 0
3 years ago
Whats the slope of the coordinates (-3, 1 ) and (2, -2)?
Varvara68 [4.7K]
The slope of these coordinates is - 3/5
4 0
3 years ago
Read 2 more answers
What’s the correct answer?
AleksAgata [21]

Answer:

1/7

Step-by-step explanation:

1 - 0                   1

------        =      -------

0 - ( - 7)             7

3 0
3 years ago
3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
marysya [2.9K]

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

3 0
3 years ago
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