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choli [55]
3 years ago
6

If f(x) is a third degree polynomial function, how many distinct complex roots are possible

Mathematics
2 answers:
inessss [21]3 years ago
7 0
2.
You will have on real root, and two complex which derives from the 3rd degree polynomial function.
Flura [38]3 years ago
3 0

Answer: 2


Step-by-step explanation:

We know that complex roots occurs only in pairs.

If f(x) is a third degree polynomial then by corollary to the fundamental theorem of algebra , it must have 3 roots.

But as complex roots occurs in pairs, thus there must be even number of complex roots.

So there is 2 complex distinct complex roots are possible in third degree polynomial.


  • Corollary to the fundamental theorem states that every polynomial of  degree n>0 has exactly n zeroes.

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3 years ago
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Heidi spent a total of $60 on clothing items she bought 2 pairs of shorts for 10 dollars each she bought some t-shirts for 4 eac
lisov135 [29]

Answer:

2 pair shorts and for t-shirts and sandals possible cases are  

1 t-shirt and 3 sandals or

4 t-shirts and 2 sandals or

7 t-shirts and 1 sandals.

Step-by-step explanation:

Total money spent by Heidi on the clothing items is $60.

Now , she bought 2 pairs of short for $10 each , so, the money spent on shorts will be $20.

Thus money for other stuffs should be $40.

Let she bought x t-shirts for $4 each , thus money spent on t-shirts will be 4x dollars.

Also let she bought y sandals for $12 each , so money spent on sandals will be 12y dollars .

Thus , 4x + 12y = 40.  (since 40 dollars were remaining for other clothing

                                     items)

So, x + 3y = 10.

So, the possible cases are 1 t-shirt and 3 sandals or

4 t-shirts and 2 sandals or

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7 0
2 years ago
ZARA'S DAD IS 6 TIMES OLDER THAN ZARA. THE PRODUCT THEIR AGE IS 150 YEARS. CALCULATE THEIR RESPECTIVE AGES
Masteriza [31]

Answer:

Zara = 5
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Step-by-step explanation:

Lets say Zara's age is "z"
So, her dad's age must be 6 x z = 6z
As its given that there product is 150 so we can also write it as :

z x 6z = 150
6z to the power 2 = 150
z to the power 2 = 150 divided by 6
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So, z = 5
So Zara's age is 5 so her dad's age must be 30

3 0
1 year ago
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