-3p³ + 5p - 2p² - 4 - 12p + 5 + 8p³
-3p³ + 8p³ - 2p² + 5p - 12p - 4 + 5
5p³ - 2p² - 7p + 1

on this point we can use the formula to factor
![v=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is 4, b is 12 and c is 9
replacing
![v=\frac{-(12)\pm\sqrt[]{(12)^2-4(4)(9)}}{2(4)}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B-%2812%29%5Cpm%5Csqrt%5B%5D%7B%2812%29%5E2-4%284%29%289%29%7D%7D%7B2%284%29%7D)
and solving
![\begin{gathered} v=\frac{-12\pm\sqrt[]{144-144}}{8} \\ \\ v=\frac{-12\pm\sqrt[]{0}}{8} \\ \\ v=-\frac{12}{8}=-\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20v%3D%5Cfrac%7B-12%5Cpm%5Csqrt%5B%5D%7B144-144%7D%7D%7B8%7D%20%5C%5C%20%20%5C%5C%20v%3D%5Cfrac%7B-12%5Cpm%5Csqrt%5B%5D%7B0%7D%7D%7B8%7D%20%5C%5C%20%20%5C%5C%20v%3D-%5Cfrac%7B12%7D%7B8%7D%3D-%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
The root is

then the polynomial has one root -3/2 if we rewrite the polynomial is

or
Answer:
The area of a rectangle is one side times the other, and this is the same for two rooms. 2⋅8⋅12=192 square feet.
Step-by-step explanation:
Hoped I helped
Answer:
- a) Plots are similar
- b) x= 5577 feet
Step-by-step explanation:
<em>Refer to attached</em>
<h3>Question</h3>
- a) Are the plots of land similar?
- b) Find to the exact value of x and rounded to the nearest tenth?
<h3>Solution</h3>
The small triangle have missing angle of 180° - (52° + 58°) = 70°
This is indicating both triangles have same 3 angle measures.
Since all angles are same, the triangles are similar.
<u>Corresponding sides, against corresponding angles are:</u>
<u>As per property of similarity, the ratio of corresponding sides is same</u>
- 6180/8240 = x/7436
- x = 6180*7436/8240
- x = 5577 feet
Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()