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
Anna71 [15]
2 years ago
11

(x+3)(3x² - 5x - 10) multiply polynomial

Mathematics
2 answers:
zmey [24]2 years ago
8 0

Answer:

3x^2  + 4x^2 - 25x - 30

Step-by-step explanation:

<u>Step 1:  Distribute</u>

(x + 3)(3x^2 - 5x - 10)

(x * 3x^2) + (x * (-5x)) + (x * (-10)) + (3 * 3x^2) + (3 * (-5x)) + (3 * (-10))

3x^3 - 5x^2 - 10x + 9x^2 - 15x - 30

<u>Step 2:  Combine like terms</u>

3x^3 - 5x^2 + 9x^2 - 15x - 10x  - 30

(3x^2) + (-5x^2 + 9x^2) + (-15x - 10x) + (-30)

3x^2  + 4x^2 - 25x - 30

Answer:  3x^2  + 4x^2 - 25x - 30

brilliants [131]2 years ago
6 0

Answer:

  • \boxed{\sf{3x^3+4x^2-25x-30}}

Step-by-step explanation:

\underline{\text{SOLUTION:}}

To isolate the term of x from one side of the equation, you must multiply by a polynomial.

\underline{\text{GIVEN:}}

:\Longrightarrow: \sf{(x+3)(3x^2 - 5x - 10)}

<u>You have to solve with parentheses first.</u>

:\Longrightarrow \sf{x\cdot \:3x^2+x\left(-5x\right)+x\left(-10\right)+3\cdot \:3x^2+3\left(-5x\right)+3\left(-10\right)}

<u>Solve.</u>

\sf{x*3x=3x^3}

x(-5x)=-5x²

\sf{x(-10)=-10x}

3*3x²=9x²

3(-5x)=-15x

3(-10)=-30

<u>Then, rewrite the problem down.</u>

\sf{3x^3-5x^2-10x+9x^2-15x-30}

<u>Combine like terms.</u>

\Longrightarrow: \sf{3x^3-5x^2+9x^2-10x-15x-30}

<u>Add/subtract the numbers from left to right.</u>

-5x²+9x²=4x²

\Longrightarrow: \sf{3x^3+4x^2-10x-15x-30}

<u>Solve.</u>

\sf{-10x-15x=-25x}

<u>Then rewrite the problem.</u>

\Longrightarrow: \boxed{\sf{3x^3+4x^2-25x-30}}

  • <u>Therefore, the correct answer is 3x³+4x²-25x-30.</u>

I hope this helps! Let me know if you have any questions.

You might be interested in
Disadvantages of mathematical models are the model is a _________ of the real problem and does not include all _____ of the prob
Nonamiya [84]

Answer:

Disadvantages of mathematicsl models are given.

Step-by-step explanation:

Disadvances of mathematicsl models are the model is a limited or bounded cases which taken from huge number of situations by ignoring many unknown facts of the real problem and does not include all important parameters or trivial parameters for accuricy of the result of system dynamics which gives a better result of the problem. The model may also only work in certain major state variables and parameters which may effect largly on the whole system.

3 0
3 years ago
Identify the vertex of the parabola<br> y = x^2-2x-3
melisa1 [442]

Answer:

(2, -3)

Step-by-step explanation:

7 0
2 years ago
Solve AABC. Round your answers to the nearest hundredth, if necessary
Aloiza [94]

Answer:

C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 180-90-65=25^{\circ}.

In any triangle, the Law of Sines is given by \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}.

Therefore, we have:

\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}

\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}

8 0
3 years ago
The school cafeteria sells 5 gallons of
sasho [114]

Answer: 72 gallons

Step-by-step explanation: I added 5 and 3 then multiplied by 9.

6 0
3 years ago
Read 2 more answers
Dan earns £224 over the course of a five-day week. How much is that per day?
alina1380 [7]

224/5= 44.8

He enrns 44.8 per day

4 0
3 years ago
Other questions:
  • What is 10 times as much as 0.08?
    8·1 answer
  • NEED THE HELP PLEAASE !!!
    14·2 answers
  • Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi
    10·2 answers
  • Which ratios are equal to each other? 1:16 and 2:8 or 2:32 and 4:8 or 1:64 and 4:16 or 1:16 and 4:64
    8·1 answer
  • 8 out of 10 of the people at the circus are kids. if 575 tickets were sold,how many are expected to be kids?
    8·1 answer
  • I need an answer asap thank you
    9·1 answer
  • SOMEONE HELP ME PLEASE
    10·2 answers
  • What is the surface area of the sphere below?
    5·1 answer
  • 16 - 2 to the 3rd power over 16
    5·2 answers
  • Please help please help ???
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!