1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hodyreva [135]
3 years ago
8

Consider that the roots of a cubic equation with integral coefficients are 1, −2, and 3.

Mathematics
2 answers:
Iteru [2.4K]3 years ago
3 0

Answer:

The answer is option A) X + 2

Step-by-step explanation:

Any polynomial of order n can be expressed in terms of their roots in factors of the form

(x-a)(x-b)(x-c)(x-d)....... = 0

Where a,b,c,d,... are the roots of the polynomial

In the example shown

(x+2) = (x-(-2))

And -2 happens to be the root of the polynomial in question

lisabon 2012 [21]3 years ago
3 0

Answer:  The correct option is (A) x + 2.

Step-by-step explanation:  We are given that 1, -2 and 3 are the roots of a cubic equation with integral coefficients.

We are to select the choice that is a factor of the given cubic equation.

<em><u>Factor theorem :</u></em>  If x = a is a root of a polynomial equation f(x) = 0, then (x - a) is a factor of f(x).

Since x = 1, -2 and 3 are the roots of the given equation, so by Factor theorem, we get

(x - 1), (x + 2) and (x - 3) are the factors of the given polynomial equation.

Since (x - 1) ans (x - 3) are not given in the options, so the correct option is (x + 2).

Thus, option (A) is CORRECT.

You might be interested in
How do you find the slope if a line of two points are given?
TiliK225 [7]

<em>If it is the two ordered pairs that are given then use the following slope formula.</em>

<em />m = \frac{y_2-y_1}{x_2-x_1}<em> </em>

<em>also known as m = rise / run</em>

7 0
3 years ago
Read 2 more answers
I’m confused on this question and i really need help , can someone please help
Anton [14]
Add all of them and them subtract by the value
8 0
3 years ago
Read 2 more answers
PLS HELP I NEED ANSWER ASAP!<br> PPLS BE RIGHT!
Luba_88 [7]

Answer:

They used 6 vans and 3 buses

Step-by-step explanation:

x + y= 9

13x + 40y= 198

x= 9 - y

13(9 - y) + 40y= 198

117 - 13y + 40y= 198

27y= 81

y= 3

9-3= 6

4 0
3 years ago
Read 2 more answers
Mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark’s income for the
Lina20 [59]

Answer:

59,000 * .02= $1,180 commission plus $300 = $1480

3 0
3 years ago
Write the word or phrase that best completes each statement or answers the question.
aniked [119]
I believe that the answer is A
5 0
3 years ago
Other questions:
  • Of the 250 Sheep In A Flock <br> 34% are white how many sheep are white
    12·1 answer
  • Write each pair of fractions as a pair of fractions with a common denominator 7/10 and 4/5
    9·2 answers
  • Given a sequence is defined by the explicit definition LaTeX: t_n=\:n^2+nt n = n 2 + n, find the 4th term of the sequence. (ie L
    5·2 answers
  • Describe 21 hundred using different words​
    5·1 answer
  • In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc int
    14·1 answer
  • Which equation represents a proportional relationship?
    8·2 answers
  • Please answer asap please
    14·1 answer
  • Identify the center and radius of each. Then sketch the graph.<br> (x-1) +(v + 3) = 4
    7·1 answer
  • PH = -log10 (C).
    8·1 answer
  • You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the co
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!