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
Lelechka [254]
3 years ago
10

Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

  (x +2)(x -4)(x -5)

Step-by-step explanation:

When you divide the cubic by (x +2), the factor that has -2 as a root, you get a quadratic with roots 4 and 5. Thus the factors are ...

  (x +2)(x -4)(x -5)

___

In the attachment, we have done the division using a graphing calculator. You can also do it by polynomial long division or by synthetic division. The resulting quadratic is ...

  x^2 -9x +20 = (x -4)(x -5) . . . . . factor the quadratic

You might be interested in
What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2
Minchanka [31]

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

8 0
3 years ago
Simplify 4ab - 6a^2b + 3ab^2 +3b - 6qb
Diano4ka-milaya [45]
<span>b • (6a2 - 3ab - 4a + 6q - 3)</span>
3 0
3 years ago
Please help asap
dimaraw [331]

Answer:

idk

Step-by-step explanation:

6 0
3 years ago
Find the surface area of the triangular prism shown below .
Wewaii [24]

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

7 0
3 years ago
Which expression is equivalent to StartRoot 200 EndRoot?
Verdich [7]

Answer:

b)  √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5  x 5

⇒ 200  = (2)²  x (5) ²  x 2

Taking ROOT both sides, we get:\sqrt{200}  = \sqrt{(2)^{2}  \times (5)^{2}  \times  2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times  \sqrt{(2) }  = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200}  =  10 \sqrt {2}

Hence,   √200 = 10√2

5 0
3 years ago
Read 2 more answers
Other questions:
  • Melcher used 24% if the memory card on his digital camera while taking pictures at a family reunion. If melcher took 96 pictures
    11·1 answer
  • John can complete a paper route in 20 minutes. Steve can complete the same route in 30 minutes. How long will it take them to co
    8·2 answers
  • Polynomial Functions help
    8·1 answer
  • What is 4 3/8 times 2 2/5 step by step
    11·1 answer
  • Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins th
    14·2 answers
  • Answer quick for brainliest
    12·2 answers
  • This Assignment will be used as a QUIZ GRADE!
    7·2 answers
  • A home mortgage for $70,000 at 12% for 29 years. What is the principle?
    12·1 answer
  • During art class, Gregory spent 24 hour painting.
    5·1 answer
  • The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!