Answer:
Step-by-step explanation:
Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if 
are the zeros of the cubic polynomial , then ,
Here in place of the Greek letters , substitute 2,i and -i , we get ,
Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,
Simplify using i = √-1 ,
Multiply by distribution ,
Simplify by opening the brackets ,
Rearrange ,
Minus 5 from both sides so we have 3a=-19 now divide both sides by 3 so we have a=-6 1/3
How can I send you the drawn representation on number line ?
25)
z + 4 >= 2z
-z >= -4
z <= 4 (you flip the sign when you divide over negative number)
on number line: from 4 to -infinity
you use normal arithmetic like equations
29)
-9 + 2a < 3a
-9 < a (just one step done)
on number line from -9 to infinity
41 and 43 ? not in the page
Answer:
The answer would be -4x - 42.
Step-by-step explanation:
Goal: Simplify the equation.
- You need to distribute the - sign where it isn't. So the equation should look like this now: 4(-3-5)+-1(10+4x).
- Now multiply -1(0+4x): (-1)(10) + -1(4x) to get 4(-3-5) +-10+-4x
- Now multiply 4(-3-5): (4)(-3)= -12 / (4)(5) = 20 / -12-20 = -32
- The equation should now look like: -32 + -10 + -4x
- Next, we need to combine like terms and since the like terms are -32 and -10, the equation should look like: -4x + (-32 + -10).
- Add -32 with -10: -32 + -10 = -42.
- You can't do anything with the -4x so therefore, the equation would be -4x - 42.
5 1/2 or five and one fifth
