is a slightly more compact way of saying
. So

Let's do this by Briot-Ruffini
First: Find the monomial root
x - 2 = 0
x = 2
Second: Allign this root with all the other coeficients from equation
Equation = -3x³ - 2x² - x - 2
Coeficients = -3, -2, -1, -2
2 | -3 -2 -1 -2
Copy the first coeficient
2 | -3 -2 -1 -2
-3
Multiply him by the root and sum with the next coeficient
2.(-3) = -6
-6 + (-2) = -8
2 | -3 -2 -1 -2
-3 -8
Do the same
2.(-8) = -16
-16 + (-1) = -17
2 | -3 -2 -1 -2
-3 -8 -17
The same,
2.(-17) = -34
-34 + (-2) = -36
2 | -3 -2 -1 -2
-3 -8 -17 -36
Now you just need to put the "x" after all these numbers with one exponent less, see
2 | -3x³ - 2x² - 1x - 2
-3x² - 8x - 17 -36
You may be asking what exponent -36 should be, and I say:
None or the monomial. He's like the rest of this division, so you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)
Just divide the rest by the monomial.
Answer:
option (b) is correct.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
Given : A math class is having a discussion on how to determine if the expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.
We have to choose the correct method from the given options that the class has suggested.
Since we have to show the given expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.
We will choose a single value of x and then evaluate both the given expression at that single value and if the output of both expression comes out to be same then the two expressions must be equivalent.
For example lets take x = 2,
Then expression 4x - x + 5 becomes 4(2) - 2 +5 = 8 - 2 + 5 = 6 + 5 = 11
also, expression 8 - 3x - 3 becomes 8 - 3(2) - 3 = 8- 6 - 3 = 8 - 9 = -1
thus, the value is not equal hence, the two expression are not equivalent.
Thus, option (b) is correct.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
So you would start with removing the parentheses so 6- - 4 would be 6+4 because the double negative and then that would be 10 so 7 times 10 so your answer is 70
Answer:
there is only 3 solution for this equation
Step-by-step explanation:
I hope this is right!