Answer: 26
Step-by-step explanation: From the remainder theorem ,
If P (x) = 2x⁴ ⁻ x³ + 2x² ⁻ 6. is divided by ( x - 2 ).
It means that if P(x) is divided by (x - 2 ) and leaves a Remainder, it implies that x - 2 is not a factor of P(x) , but if it leaves no remainder, it means x-2 is a factor of P(x).
Therefore , to find the remainder, find the zero of x - 2, and substitutes for the value in P(x) to know the remainder
x - 2 = 0
x = 2
Now put this in P(x)
P(x) = 2(2)⁴ - (2)³ + 2(2)² - 6
= 2(16) -8 + 2(4) -6
= 32 -8 +8 -6
=26
Therefore the remainder when P(x) is divided by x -2
=26
Note: Since the division of P(x) by x - 2 leaves a remainder, it means that
x - 2 ≠ a factor of P(x)
There are four-thirds servings per pound
Answer:
Time taken is 
.
Step-by-step explanation:
Given:
Volume of Gulf of Mexico, 
Flow rate of the Mississippi River, 
Now, time taken to fill the volume of Gulf of Mexico is given as:
.
Therefore, the time by the Mississippi River to fill the volume of the Gulf of Mexico is .
Answer:
29-(2c+3)=2(c+3)+c=
We move all terms to the left:
29-(2c+3)-(2(c+3)+c)=0
We get rid of parentheses
-2c-(2(c+3)+c)-3+29=0
Step-by-step explanation:
