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
Vitek1552 [10]
2 years ago
14

Write a polynomial function of least degree with rational coefficients so that ​P(x)0 has the given roots. x=-5, x=10

Mathematics
1 answer:
Maru [420]2 years ago
8 0

Answer:

P(x) = x² - 15x + 50

Step-by-step explanation:

We write the polynomial function P(x), given that P(x) = 0 has the given roots, x = 5 and x = 10.

Since x = 5 and x = 10 are the roots of P(x) = 0, it follows that (x - 5) and (x - 10) are factors of P(x) = 0. So, P(x) = (x -5)(x - 10) = 0

Expanding the brackets, we have

x² - 10x - 5x + 50 = 0

Simplifying, we have

x² - 15x + 50 = 0 = P(x)

Thus,

P(x) = x² - 15x + 50

You might be interested in
what is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? y = 4x − 2 y = 2x − 4 y = −3(x − 4) y =
Brilliant_brown [7]
Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).

y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)
7 0
3 years ago
A cross-country travels 20 kilometers before she realizes that she has to cover at least 75 kilometers in order to qualify for t
valina [46]
It will be 7 hour and 30 min
5 0
3 years ago
Read 2 more answers
How to draw a parallelogram that has 4 parallel lines
Mariana [72]
It is impossible to draw a parallelogram with 4 parallel lines (or to draw any quadrilateral with 4 parallel lines, for that matter).
6 0
3 years ago
5 times the result of a number plus 7 equals 71 more than that number
lubasha [3.4K]
The answer is: 12.8
71 -7 = 64
64÷5=12.8
4 0
3 years ago
Read 2 more answers
Write a in slope-intercept form of the line that passes threw (-9,5) and (-3,3)
Amanda [17]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

We have the following points:

(x_ {1}, y_ {1}): (- 9,5)\\(x_ {2}, y_ {2}): (- 3,3)

Substituting we have:

m = \frac {3-5} {- 3 - (- 9)}\\m = \frac {-2} {- 3 + 9}\\m = \frac {-2} {6}\\m = - \frac {1} {3}

Thus, the equation is of the form:

y = - \frac {1} {3} x + b

We substitute one of the points and find "b":

3 = - \frac {1} {3} (- 3) + b\\3 = 1 + b\\3-1 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {1} {3} x + 2

Answer:

y = - \frac {1} {3} x + 2

7 0
3 years ago
Other questions:
  • There are 600 counters in a bag 90 of them are yellow.
    5·2 answers
  • Thirteen out of twenty-one people surveyed prefer fresh fruit over canned fruit. What percent of people prefer fresh fruit?
    5·1 answer
  • Of the total amount of available water on the earth, what percent is usable?
    7·1 answer
  • The equation d = d equals StartFraction m Over V EndFraction. can be used to calculate the density, d, of an object with mass, m
    5·2 answers
  • 000_7th Math 2020-2021 Spring Benchmark
    5·1 answer
  • If A =
    12·1 answer
  • An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43
    8·1 answer
  • Which net represents this solid figure? I'll Give Points If The Answer Is Right.
    14·1 answer
  • Read the question below.
    14·1 answer
  • How was your day and what did u do
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!