Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
___
1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
__
2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer:
Examples of non-integers include decimals, fractions and imaginary numbers. For example, the number 3.14, which is the value for pi, is a non-integer. Another non-integer is the mathematical constant e, known as Euler's constant, which is equal to about 2.71.
Step-by-step explanation:
Answer:
The answer is A. (3x^4-5x^3+5x+2) =(x-2)
Step-by-step explanation:
You would get the annual salaries by dividing each total salary by the number of years it took to earn it. For example, to get the physician's annual salary, you would divide 5,610,000 by 30 to get an answer of $187,000.