What is the remainder when you divide 2x^3+4x^2 - x +3 by x+2

The required remainder is 5.

Step-by-step explanation: We are given to find the remainder when we divide the following cubic polynomial by (x+2 :

3 f(x)=2x^ 3 +4x^ 2 - 6^ 2 -x+

(i)

We have the following theorem:

Remainder theorem: If a polynomial p(x) is divided by the factor (x-a), then the remainder is p(a).

So, for the given linear factor, we have

x + 2 = 0

Rightarrow x=-2

Substituting x = - 2 in equation (i), we get

f(- 2)

=2(-2)^ 3 +4(-2)^ 2 -(-2)+3

=-16+16+2+3

=5 .

Thus, the required remainder is 5.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752