Answer:
3.876943x10^9
7.317x10^-4
Step-by-step explanation:
3,876,943,000
Put the decimal at the end
3,876,943,000.
Move it so only 1 number is before the decimal
3.876943000
We moved it 9 places, so that is the exponent
We moved it to the left, so the exponent is positive
The three zeros at the end can be dropped because they are the last numbers to the right of the decimal
3.876943x10^9
0.0007317
Move it so only 1 number is before the decimal
00007.317
We moved it 4 places, so that is the exponent
We moved it to the right, so the exponent is negative
The four zeros at the left can be dropped because they are the last numbers to the left of the whole number
7.317x10^-4
Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
We find that 
factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer: choice D
----------------------------------------------
Work Shown:
I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4
-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4
To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D
Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.
Explanation:
These are the steps to factor the polynomial with the reasons that justify them:
Step Reason
1. 10x³ + 35x² - 4x - 14 Given
2. (10x³ + 35x²) - (4x + 14) Group the terms
3. 5x² (2x + 7) - 2 (2x + 7) Common factor 5x² and 2
After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).
Question is Incomplete; Complete question is given below;
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x.
Answer:
The Complete factorized form of given equation is 
.
Step-by-step explanation:
Given:
We need to factorize the above equation:
Solution:
On Solving the above equation we get;
Step 1:
First we will take a common factor which is 'x' so the equation will become as;
Step 2:
Now we will Rewrite the above equation so as to factorize the same we get;
Step 3:
Now we take 
common factor from first 2 terms we get;
Step 4:
Now we will take 7 as common factor from last 2 terms we get;
Step 5:
Now we can see the common factor between the 2 terms is 
;
Hence The Complete factorized form of given equation is .
