I may be wrong but I hope I am not. But one expression is 16 × .15 and another is 16 × 15/100. When multiplying percentages you have to move the decimal that is invisbly behind the last number, two places to the left. The answer you get is the percentage of the price. You would then take the answer and add it to the price. The answer to the multiplication problem is 2.40. You then add the 2.40 to the $16 and that's the new price.
GIVEN:
We are given the following polynomial;
![x^3+x^2+4x+4](https://tex.z-dn.net/?f=x%5E3%2Bx%5E2%2B4x%2B4)
Required;
We are required to factorize this polynomial completely.
Step-by-step explanation;
To factorize this polynomial, we start by grouping;
![(x^3+x^2)+(4x+4)](https://tex.z-dn.net/?f=%28x%5E3%2Bx%5E2%29%2B%284x%2B4%29)
We now take the common factor in each group;
![\begin{gathered} x^2(x+1)+4(x+1) \\ \\ (x^2+4)(x+1) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%28x%2B1%29%2B4%28x%2B1%29%20%5C%5C%20%20%5C%5C%20%28x%5E2%2B4%29%28x%2B1%29%20%5Cend%7Bgathered%7D)
Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;
![\begin{gathered} x^2+4=0 \\ \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\ \\ x^2=-4 \\ \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\ \\ x=\pm\sqrt{-4} \\ \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\ \\ x=\pm2i \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%2B4%3D0%20%5C%5C%20%20%5C%5C%20Subtract%5Ctext%7B%20%7D4%5Ctext%7B%20%7Dfrom%5Ctext%7B%20%7Dboth%5Ctext%7B%20%7Dsides%3A%20%5C%5C%20%20%5C%5C%20x%5E2%3D-4%20%5C%5C%20%20%5C%5C%20Take%5Ctext%7B%20%7Dthe%5Ctext%7B%20%7Dsquare%5Ctext%7B%20%7Droot%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dboth%5Ctext%7B%20%7Dsides%3A%20%5C%5C%20%20%5C%5C%20x%3D%5Cpm%5Csqrt%7B-4%7D%20%5C%5C%20%20%5C%5C%20x%3D%28%5Cpm%5Csqrt%7B-1%7D%5Ctimes%5Csqrt%7B4%7D%29%20%5C%5C%20%20%5C%5C%20x%3D%5Cpm2i%20%5Cend%7Bgathered%7D)
Therefore, the factors of the other parenthesis are;
![(x+2i)(x-2i)](https://tex.z-dn.net/?f=%28x%2B2i%29%28x-2i%29)
Therefore, the complete factorization of the polynomial is;
ANSWER:
![(x+1)(x+2i)(x-2i)](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B2i%29%28x-2i%29)
Option C is the correct answer.
Answer:
9
Step-by-step explanation:
range is the range from the lowest # through the biggest # in other words subtract the smaller number from the bigger number
It’s B. k. If you think about it and try to solve it in a notebook you’ll get the answer. Hope this helps