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
yulyashka [42]
3 years ago
15

If two polynomial equations have real solutions, then will the equation that is the result of adding, subtracting, or multiplyin

g the two polynomial equations also have real solutions?
Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:

No.

Step-by-step explanation:

No, one easy way to see it is with quadratic formulas. There exists quadratic polynomials with no real solutions, then if you add, subtract or multiply two polynomials and obtain a quadratic formula, possibly this polynomial won't have real solutions.

I am going to give one counterexample:

We have the two polynomials p(x) = x^2+2x+3 and q(x)= 2x^2+3x+4, then is we subtract q(x)-p(x) we obtain

2x^2+3x+4-(x^2+2x+3) = 2x^2+3x+4-x^2-2x-3 = x^2+x+1.

The resulting polynomial is a quadratic polynomial of the form ax^2+bx+c with a=1, b=1 and c=1. This polynomial has no real solutions, you can check it with the discriminating b^2-4ac = 1^2-4(1)(1) = 1-4 = -3. As the discriminating is negative, the polynomial has no real solutions.

deff fn [24]3 years ago
3 0

No, there are polynomials that have real solutions but when combined would be possible to have no real solutions.

You might be interested in
Maya is comparing ride-sharing company prices. Company M charges $1.75 per mile driven and a one-time trip fee of $5. Company N
BabaBlast [244]

Answer:

1.75x+5<2.5x+3

Step-by-step explanation:

4 0
3 years ago
Can someone tell me what this symbol means? Ty!!!
Lana71 [14]

Answer:

Angle symbol

Angle ACB

Angle ACE

Angle DCE

3 0
2 years ago
As shown in the image below, triangle ABC is reflected onto its image. А B с С" A Which of the following lines represents the li
dybincka [34]

Answer:

Line of reflection will be y = -2

Step-by-step explanation:

From the picture attached,

Triangle ABC has been reflected over an unknown line so that the triangle ABC will overlap triangle A'B'C'.

To find the line of reflection,

Coordinates of point C → (7, 0)

Coordinates of point C' → (7, -4)

Line of reflection = line passing through midpoint of the line joining C and C'

Midpoint of the line joining points C and C' = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

                                                                        = (\frac{7+7}{2},\frac{0-4}{2})

                                                                        = (7, -2)

Therefore, line of reflection is y = -2.

6 0
3 years ago
Evaluate 48÷[4×(11-9)-2]
Vlada [557]

Answer: 121

Step-by-step explanation:121

7 0
3 years ago
Is (-2,8), (-1,5), (0,4), (1,5), and (2,8) a function?
Dimas [21]

Answer:

y =  {x}^{2}  + 4

Step-by-step explanation:

First you can notice the y-intercept is 4. Then notice how the y value increases exponentially based on the x valie, making it non-linear, rather a porabla.

7 0
3 years ago
Other questions:
  • What is the greatest common factor of 72 60 and 48?
    10·1 answer
  • Idk how to do this. Please help
    7·1 answer
  • 8th Grade Functions: Bike Race
    13·2 answers
  • What is the equivalent decimal?
    7·1 answer
  • A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your
    9·1 answer
  • 3. How many silver cars is the dealer expected to sell, on average, out of five cars? Interpret this expected value in context.
    9·1 answer
  • Factor completly:<br><br> 16x^2 - 64x + 48
    9·1 answer
  • A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?
    14·2 answers
  • Please help me 100 points
    11·1 answer
  • Help me with this took an hour already
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!