Rewrite the number in standard notation.1.234 times 10^8

Depending upon your definition of "standard notation", probably the answer you are looking for is:

123

,

400

Explanation:

Some people use the term "standard notation" as a synonym for "scientific notation". In this case the number

1.234

×

10

5

is already in "standard notation".

However, you will also find the term used to mean what we might think of as common notation. The answer given above is in this form.

Check with your instructor as to the meaning he/she is using.

:

2160ft3

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.