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
mash [69]
3 years ago
13

Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(???????) =???? .

Mathematics
2 answers:
g100num [7]3 years ago
7 0

Answer: The answer is (x+7)(3x+1)=33x^2+22x+7.

Step-by-step explanation: Given that

(3x2 + 22x + 7) \div(x + 7) = 3x + 1,

and we are to complete the following sentence:

(x+7)(???)=???

We have the following division algorithm for polynomials

\textup{If }a(x)\times b(x)=c(x),\\\textup{then, we have }\\\\\dfrac{c(x)}{b(x)}=a(x)~~~~~\textup{or}~~~~~~c(x)\div b(x)=a(x).

Here, a(x) = quotient, b(x) = divisor and c(x) = dividend.

Applying this rule in the given problem, we have

\textup{since }(3x2 + 22x + 7) \div(x + 7) = 3x + 1,\\\\\textup{so, }\\\\(x+7)(3x+1)=3x^2+22x+7=0.

Thus, the complete sentence is

(x+7)(3x+1)=3x^2+22x+7=0.

svetoff [14.1K]3 years ago
3 0

Answer:

3x+1, 3x^2+22x+7, and closure

Step-by-step explanation:

You might be interested in
Find the area of the shape shown below.
hichkok12 [17]

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

6 0
3 years ago
Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1
loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).

Our polynomial is:

P(x) = x^3-4x^2-6x-3

And we want to find the remainder when it's divided by the binomial:

x+1

We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

Then by the PRT, the remainder will be:

\displaystyle\begin{aligned}  R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}

The remainder is -2.

5 0
2 years ago
Answer this A(n)=12(n-1)5
just olya [345]

Distribute:

(12n-12)5

60n-60 = A(n)

You can't really find what n is I don't think, because you have 2 unknown variables n and A(n).

6 0
3 years ago
To divide 5472 by 81 using the shortened form of the division algorithm, what should be your first thought? Select from the drop
RoseWind [281]

Answer:

"How many times does 81 divide into 547?"

7 0
3 years ago
Please answer this correctly
kiruha [24]
I think they are at 7:10 pm
6 0
3 years ago
Read 2 more answers
Other questions:
  • convert the following logarithmic equation to the equivalent exponential equation. Use the caret (^) to enter exponents. y=ln x
    7·1 answer
  • How many zeros are in the product of 400*80000
    13·1 answer
  • Select the equation that is true for all values of x?
    5·1 answer
  • What is seven fourths of fifth
    14·2 answers
  • The diameter of a circle is 20m <br> Find the circumference to the nearest tenth
    5·1 answer
  • The expression 1/4y+3/8 factored is
    6·1 answer
  • Solve 7x +2x over 3 =5
    14·1 answer
  • Express the given fraction as a percent 1/2
    6·2 answers
  • I'm thinking it's either a or d but I'm not sure.
    9·1 answer
  • A picture has the ratio of z inch per 3 cm. What is the unit<br> rate inches per centimeter?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!