I think the answer is that what i think
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be
Then the sum of a number and 3 subtracted from 10 would be
Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be
Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:
Hence, the number is 5
Because it's a multiplication, we can choose this:
72=8x9
The polynomial whose zeroes are 1, 2 and 3 is given by,
(x-1)(x-2)(x-3) = 0
(x-1)[x²-3x-2x+6]=0
(x-1)[x²-5x+6]=0
x[x²-5x+6] -1[x²-5x+6]=0
x³-5x²+6x-x²+5x-6=0
x³-6x²+11x-6=0
Therefore, the required polynomial is,
x³ - 6x² + 11x -6 = 0