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
marissa [1.9K]
3 years ago
5

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

Standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

Step-by-step explanation:

Here, the given expression is (x-9)(3x-7) + (3x^{2} - 5x+2)

Now, simplifying the above expression in parts, we get

(x-9)(3x-7) = 3x^{2}  - 7x -27x + 63 = 3x^{2}  - 34x + 63

hence, combining both parts:

(x-9)(3x-7) + (3x^{2} - 5x+2)=(3x^{2}   -34x +63) + (3x^{2} - 5x+2)

= 6x^{2}  - 39x + 65

The above expression is of the STANDARD FORM: ax^{2}  +bx + c

Hence, the standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

You might be interested in
Whats the difference between 8.3 and 8.03
natali 33 [55]
The difference would be 0.27
5 0
3 years ago
Read 2 more answers
The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?
pashok25 [27]

Answer:

Yes, it is true that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1.

Step-by-step explanation:

Let us try to factorize x^4+3x^3-2x^2-3x+1

x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3

Let us try to make a whole square of the given terms:

\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\

--------------

Formula used above:

a^{2} -2 \times a \times b +b^{2}  = (a-b)^2

In the above equation, we had a = x, b = 1.

--------------

Further solving the above equation, taking 3x common out of 3x^3-3x

\Rightarrow (x^2-1)^2+3x(x^2-1)\\

Taking (x^{2} -1) common out of the above term:

\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)

So, the two factors are (x^2-1)\ and\ (x^2+3x-1).

\therefore The statement that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1 is <em>True.</em>

7 0
3 years ago
A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friend
ICE Princess25 [194]

Answer:

The price of a senior ticket is $12.

Step-by-step explanation:

Given:

Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.

Now, to get what is the price of a senior ticket.

Let the senior ticket be x and the child ticket be y:

So, according to question

8x+5y=136.........(1)

4x+6y=96...........(2)

Now, we have system of equations:

Multiplying the equation (2) by -2 we get:

-8x-12y=-192.......(3)

Now, adding the equation (3) and (1) the variables and the numbers:

-8x-12y+8x+5y=-192+136

-7y=-56

Dividing both sides by -7 we get:

y=8

Putting the value of y in equation (2) we get:

4x+6(8)=96

4x+48=96

On solving the equation we get:

x=12.

Therefore, the price of a senior ticket is $12.

4 0
3 years ago
What is Roman numeral of LXVX in number​
alekssr [168]

Answer:

That is the number two (2)

Step-by-step explanation:

8 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.
-BARSIC- [3]

Answer:

y=q(x-r)+p

Step-by-step explanation:

y-y1=m(x-x1)

y-p=q(x-r)

y=qx-qr+p

y=q(x-r)+p

8 0
3 years ago
Other questions:
  • What can the reader study to most directly determine the theme of a poem?
    15·2 answers
  • (4x^2+16x+11) divided by (x+3)
    10·2 answers
  • Use the three steps to solve the problem. the length of a rectangle is 2 inches less than 3 times the number of inches in its wi
    12·1 answer
  • Hey you guys so I have a bunch of school work that I need help with and that needs to be done tonight.who can help me get the ri
    14·1 answer
  • ASAP Show work!!<br><br> 3/7w - 11 = -4/7w
    8·1 answer
  • Salma and jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B.How many point
    6·1 answer
  • What is the reciprocal of 20 as a fraction?
    5·2 answers
  • 2. Four friends share 3 apples equally.
    13·1 answer
  • The student council is selling cupcakes at the school play.
    8·1 answer
  • Make d the subject of the formula h= d/3 + 2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!