Answer:
Quotient ( x² -4x +10)
Reminder -2
Step-by-step explanation:
We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8
Now, we have to divide g(x) by (x+1)
Let us arrange the terms of g(x) to get (x+1) as common.
x³ - 3x² + 6x + 8
= x³ +x² -4x² -4x +10x +10 -2
= x² (x +1) -4x (x +1) +10 (x +1) -2
= (x +1)( x² -4x +10) -2
Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)
Answer:
12
Step-by-step explanation:
64+52=118 studied in the cafeteria or lounge
but 20 studied in both, so 118-20 = 98 studied there in total
110 -98 = 12
Answer:
0.6 books
Step-by-step explanation:
Divide 9 by 15 to get 0.6 books a month
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x
∴ 10 teeth must go on the driven gear
hence ratio = 34:10
