The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root?
2 answers:
9514 1404 393
Answer:
(b) -1
Step-by-step explanation:
The graph shows the difference between the two expressions is zero at x=-1.
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<em>Additional comment</em>
For finding solutions to polynomial equations, I like to put them in the form f(x)=0. Most graphing calculators find zeros (x-intercepts) easily. Sometimes they don't do so well with points where curves intersect. Also, the function f(x) is easily iterated by most graphing calculators in those situations where the root is irrational or needs to be found to best possible accuracy.
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The best deal is offered by the Store Z
<em><u>Solution:</u></em>
We have to find which store offers the best deal
This is found by calculating the unit rate of each store
Unit rate of each store means price per can .i.e price of 1 can
<h3><u>Store X: 4 cans for $2.48</u></h3>Therefore, store X sells 4 cans for $ 2.48
Price of 1 can is found by dividing 2.48 by 4
Thus unit rate of store X is $ 0.62 per can
<h3><u>Store Y: 5 cans for $3.00</u></h3>Therefore, store Y sells 5 cans for $ 3.00
Price of 1 can is found by dividing 3.00 by 5
Thus unit rate of store Y is $ 0.6 per can
<h3><u>Store Z: 59 cents per can</u></h3>1 cents is equal to 0.01 dollar.
59 cents = 0.59 dollar
Thus unit rate of store Z is $ 0.59 per can
Comparing unit rate of store X, Y, Z
Thus, unit rate of store Z is lower than store Y and store X
Therefore, the best deal is offered by the Store Z
The greatest common factor of all the coefficients is of 8.
<h3>What is the greatest common factor?</h3>The greatest common factor between multiple terms is the largest value for which all terms are divisible.
In this problem, the equation is:
The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:
16 - 56 - 96|2
8 - 28 - 48|2
4 - 14 - 24|2
1 - 7 - 12
There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:
gcf(16, 56, 96) = 2³ = 8.
You can learn more about the greatest common factor at brainly.com/question/26140769