<span>dividend x3 - 11x2 + 16x + 84
- divisor * x2 x3 - 7x2
remainder - 4x2 + 16x + 84
- divisor * -4x1 - 4x2 + 28x
remainder - 12x + 84
- divisor * -12x0 - 12x + 84
remainder 0
Quotient : x2-4x-12 Remainder: 0
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
x2 - 6x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-6)
Which is the desired factorization
Final result :
(x + 2) • (x - 6) • (x - 7)</span>
Answer:
im gonna say choice b
Step-by-step explanation:
Answer:
And replacing we got:
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Step-by-step explanation:
We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:
And for this case we want to find the following probability:
We can find this probability using the complement rule and the cumulative distribution function given by:
Using this formula we got:
And replacing we got:
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Answer:
Rules & Examples of Integers multiplication.
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction of integers (positive or negative numbers). Every integer is a rational number.
They are multiplied based on following rules :
- Positive (+) x Positive (+) = Positive (+) , +2 x +2 = 4
- Positive (+) x Negative (-) = Negative (-) , +2 x -2 = -4
- Negative (-) x Positive (+) = Negative (-) , -2 x +2 = -4
- Negative (-) x Negative (-) = Positive (+) , -2 x -2 = 4
Answer:
a1=6
a2=15
a3=24
a4=33
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