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the sum of their squares is 110, So 
the sum of their cubes is 684, so 
the product of the three integers is 210, so xyz= 210
the sum of any two products (xy+yz+zx) is 107
Now we plug in all the values in the identity

684 - 3(210) = (x+y+z)(110-107)
684 - 630 = (x+y+z)(3)
54 = 3(x+y+z)
Divide by 3 on both sides
18 = x+y+z
the value of the sum of three integers is 18
Answer:
Okay so what do we do
Step-by-step explanation:
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Step-by-step explanation:
you have 7 reds of 14 total.
the 1st marble has 7 of 14 probability of being red
the 2nd has 6 of 13 of being red
the 3rd has 5 of 12 of being red
multiplying this out you have:
(7/14)*(6/13)*(5/12)=210/2184
THAT will condense down to 5/52 or 9.615%
this does assume not placing the balls back in between draws
if you do put them back in between draws you would have 7 of 14 chance each draw
that would give you by multiplying out
(7/14) * (7/14)* (7/14) = 343/2744
Found it online lol
that condenses to 1 of 8 or 12.5%
Found it online lol