By using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
<h3>What is factorization?</h3>
Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.
The factorization by using the Remainder theorem.
x - 5 ) x³ – 5x² + 7x – 35.( x ² + 7
x³ - 5x²
______________
00 7x - 35
7x - 35
-------------------------
00
Here the function is completely divided by the factor x - 5 therefore
by using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
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Step-by-step explanation:
put some x values into the equation
i.e : -2, -1, 0 ,1 ,2
3/5 (-2) +2 = 4/5 (-2, 4/5)
3/5 (-1) +2 = 7/5 (-1, 7/5)
3/5 (0) +2 = 2 (0, 2)
3/5 (1) +2 = 2.6 (1, 2.6)
3/5 (2) +2= 3.2 (2, 3.2)
Then plot these on the graph as corodinates with the x values
6) x=-2
7) b = 195
8) v = -17
9) x = 20
10) x = -260
You would add them all together and then divide the answer by how many numbers are there in this case there are 6 so you would all all 6 numbers then divide by 6
So all the numbers added together is 12 so then divide 12 and 6
the mean would be 6