If we are dividing by x + 3, we need to know the actual value of x. To do this, set the root equal to 0.

x + 3 = 0

x = -3

Now we just go through the process of synthetic division.

-3 ¦ ··· 2 ··· -1 · · -18 ···· 9

········· 0 ··· -6 ···· 21 ··· -9

------- ----------- ---------

········· 2 ··· -7 ····· 3 ····· 0

All we did was take the coefficients of each variable and list them. We first bring down the highest coefficient ( the 2 ) and multiply it by the number we found earlier ( -3 ). We add the result ( -6 ) to the next coefficient ( -1 ) to get ( -7 ). Multiply this again by the number we found earlier ( -3 ) and add this to the next coefficient ( -18 ) to get ( -3 ). Again, multiply this ( 3 ) by he number we found earlier ( -3 ), to get ( -9 ). Add the ( -9 ) to the ( 9 ). Finally, drop the power on each variable by one and use the numbers in the bottom row as the coefficients, so the answer would be 2x² - 7x + 3. So basically, add up the column, multiply, add up the column, multiply, etc.

Make it elementary in your self by way of doing it this sort... what quantity zeros are in a million? (6) what quantity zeros are in one thousand million? (9) Now, somewhat multiply 8x4 to get 32 Now some rules to keep in mind which will extremely help right here: -as quickly as you multiply any numbers raised to a capacity, in the event that they have an same base then you definitely easily can somewhat upload the exponents and shop the backside, (using the carat photograph ^ to characterize an exponent) as an get jointly x^3 * x^2 = x^5 -on an identical time as coping with powers of ten, the least complicated thank you to keep in mind what capacity of ten a quantity is to think of of of a one with that many zeros, so 1000 may well be 10^3 or a one with 3 zeros. So in our above difficulty, we've 10^6 and 10^9, do you observe the placement I even have been on condition that from?? So which comprise the exponents jointly, you get 10^15. This leaves us with 32 * 10^15 yet we at the instant are not extremely comprehensive yet by way of reality suitable medical notation is a quantity between one and ten situations a capacity of ten, as a result we might desire to concentration on that 32. in case you divide 32 by way of 10 you get 3.2 and in case you multiply 10^15 by way of 10 you're somewhat raising it a capacity extra desirable or 10^sixteen. any distinctive way you are able to check out that is that any quantity to the 1st capacity is somewhat that quantity, so 10^a million is reminiscent of 10, so 10^a million * 10^15 =10^sixteen. Now when I divided the 32 by way of ten i had to do the alternative (inverse in math words) someplace else to cancel out what I did. as a result, i had to multiply by way of 10. besides, your answer ought to come again out to be as follows: 3.2 * 10^sixteen

2x^3 - x^2 - 18x + 9

x^2(2x - 1) - 9(2x - 1)

(x^2 - 9)(2x - 1)

(x - 3)(x + 3)(2x - 1)

(x - 3)(x + 3)(2x - 1)

----------------------------

x +3

(x - 1)(2x - 1) Answer

Self explanatory. I factored.

factor x+3 into the equation.