1. Find the quotient of x ^ 6 + 3x ^ 5-2x ^ 3 + 5x-6 divided by x ^ 3-3x ^ 2 + 2x + 1 and Yu's formula

1. Find the quotient of x ^ 6 + 3x ^ 5-2x ^ 3 + 5x-6 divided by x ^ 3-3x ^ 2 + 2x + 1 and Yu's formula

X ^ 6 + 3x ^ 5-2x ^ 3 + 5x-6 divided by x ^ 3-3x ^ 2 + 2x + 1
Quotient formula: x ^ 3 + 6x ^ 2 + 16x + 33
Remainder: 61x ^ 2-77x-39

If the quotient of 2x ^ 3 + ax + 10 divided by x ^ 2-3x + B is 2x + 6 and the remainder is 3x-2, then a + B =?

2x^3+ax+10-(3x-2)=2x^3+ax-3x+12
Because the quotient of 2x ^ 3 + ax + 10 divided by x ^ 2-3x + B is 2x + 6
(x^2-3x+b)*(2x+6)=2x^3-18x+2bx+6b=2x^3+ax-3x+12
So 6B = 12, - 18 + 2B = A-3
We get b = 2, a = - 11
a+b=-9

If a number is increased by 20%, it will be 96. If a number is reduced by 20%, it will be 24

1. This number is X
x(1+20%)=96
1.2x=96
x=80
This number is 80
2. This number is X
x(1-20%)=24
0.8x=24
x=30
The number is 30

A number is 15 less than 40% of 62.5. Solve the equation

Let this number be X
62.5×40%-x=15
25-x=15
x=10