Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:

   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.

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2 years ago

What is the best way to gather information for each of the scenarios?

nika2105 [10]

(a) The team captain wants to know what his teammates eats before a match

Team captain know by taking a survey of teammates

(b) The team captain wants to know who can score most goals against the best player

This can be known by observation of games. so its observational study

This can be known by experiment

(d) The team captain wants to know what other sports teammates play

This can be known by observation of games. so its observational study

3 0