Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
Answer: F: I only
Step-by-step explanation:
There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as 
. The formula is as shown below:
Area=
Now, in our case, we have: 
, and
Thus, the area in this case will become:
Area=
Therefore, Area=![\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5B%5B3%28-1%5Ctimes%201-%28-5%29%5Ctimes%201%5D-3%5B3%5Ctimes%201-%28-2%29%5Ctimes%201%5D%2B1%5B3%5Ctimes%20-5-2%5D%5D%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-20%3D-10)
We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.
Solution:
The Quadratic polynomial in variable x is :
→ 6 x² + x -7
Breaking the middle term i.e term containing variable x
= 6 x² + 7 x - 6 x -7
= x ( 6 x +7) - 1 (6 x +7)
= (6 x + 7)(x-1)→→→Factor of 6 x² + x -7
Answer:
19/30
Step-by-step explanation:
If the probability of an event happening is 11/30, then you simply subtract 11 from 30 to find the remaining "possibilities"
30 - 11 = 19
So- this means that the probability of the event NOT happening, is...
19/30
Hope this helps!
