The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
<h3>What is synthetic division?</h3>
In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.
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We have a polynomial:
x³ - 3x² - 10x + 24
Which is divided by (x - 2)
We can divide using the synthetic division:
The first row: 1 -3 -10 24
The entry outside the row: 2
The missing value which is 2
k = 2
Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
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Answer:
95 degrees
Step-by-step explanation:
The degrees of a pentagon adds up to 540 so just subtract the angles you have from that to get the answer
The ratio of the number of sundaes with nuts to the number of sundaes without nuts is 11/14
What is ratio?
Ratio is a quantitative relationship between two values indicating the number of times one value contains within the other value
In other words, we are expressing the number of sundaes with nuts as a fraction of the ones without nuts
There are 22 sundaes with nuts
number of sundaes without nuts=50-22
number of sundaes without nuts=28
sundaes with nuts/sundaes without nuts=22/28
2 is common to both numbers
sundaes with nuts/sundaes without nuts=11/14
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R = radius of basketball
r = radius of tennis ball
R = 3.6r cube both sides
the ratio of the radii is 1: 3.6
cube both sides to find the ratio of the volumes
1 : 46.656 ( this many times greater)
The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%
<h3>How to identify the amount of formalin?</h3>
To calculate the amount of formalin in this substance we must perform the following mathematical operation:
- 3200 ÷ 100 = 32
- 32 × 44% = 1,408
According to the above, the mathematical expression would be:
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