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
mr_godi [17]
3 years ago
12

Which of the following is a polynomial with roots 4,6, and -7?

Mathematics
2 answers:
Otrada [13]3 years ago
8 0

Answer:

P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

given roots of the polynomial are given as    (4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

Andrews [41]3 years ago
3 0
The polynomial would be:
P(x)=(x-4)(x-6)(x+7)
P(x)=(x²-6x-4x+24)(x+7)
P(x)=(x²-10x+24)(x+7)
P(x)=x³+7x²-10x²-70x+24x+168
P(x)=x³-3x²-46x+168

Answer: P(x)=x³-3x²-46x+168
You might be interested in
Choose the best answer. The diagonals of a rectangle:
erastovalidia [21]

C.) Are the same length

<u>How you know-</u>

No matter how long the rectangle is the diagonals always will measure the same length. Think about two sides of a square, they have to equal the same length because if they were not the same then the shape wouldn't be a square.

3 0
3 years ago
Read 2 more answers
Evaluate -7a – 2b, if a = -1 and b = 2.
Roman55 [17]
Plug in a and be into the equations:
- 7( - 1) - 2(2) =  \\ 7 - 4 =  \\ 3
5 0
3 years ago
Read 2 more answers
​ ∠3 ​ and​ ​ ∠4 ​ ​are complementary adjacent angles. m∠4=49° What is the measure of ​​ ∠3 ​?
neonofarm [45]
41°. 90-49=41 mmkmmmm
6 0
3 years ago
Read 2 more answers
What is the solution to this system of linear equations?<br><br> x + y = 4<br><br> x − y = 6
Amiraneli [1.4K]
X+y = 4, therefore y = 4-x when you rearrange the equation.
You can subsitute this in: x-(4-x) = 6
-4+x = 6-x
x=10-x
2x = 10
x = 5
Substitute x into the previous equation:
5+y = 4
y = 4-5
y = -1
5 0
3 years ago
Read 2 more answers
What is the value of 5 - 12?
Masja [62]

Answer:

-7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • If the day before yesterday was sunday.what day is one week from today?
    12·2 answers
  • A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days?
    9·1 answer
  • In a video game, each rocket has an 80% chance of hitting a target. Three rockets are now fired at a target. What is the probabi
    12·1 answer
  • WILL GIVE BRAINLIEST
    5·1 answer
  • Jonathan took a 35 questions test and
    15·2 answers
  • How many 2 inch cubes are needed to completely fill a cubic box of edges 8 inches?
    10·1 answer
  • I WILL GIVE BRAINLY TO CORRECT ANSWER
    5·2 answers
  • Expand the following<br>(x+2x)(2s-2t)<br>(m-n)²<br>(k+9)²<br>(4a-3b)(c+6d)​
    5·1 answer
  • The rectangle below has an area of x^2-7x+10x 2 −7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, mi
    15·1 answer
  • A manufacturing company makes 1,125 items every hour. Which of these statements are true? Check all that apply.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!