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
dem82 [27]
2 years ago
12

Find the factors of f(x) given that x = −3 is a zero.

Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0

x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)

You might be interested in
Which number is bigger: 0.135 or 0.14?
Misha Larkins [42]

ofc 0.14

See

0.134 is 0.134

and 0.14 is 0.140

140> 134

.•. 0.14 is answer

6 0
2 years ago
Read 2 more answers
Trigonometry<br> Special Right Triangles<br> Find the exact value of tan 30* + sin 90* + cot 60*.
fredd [130]

Answer:

1 + 2sqrt(3)/3

Step-by-step explanation:

tan(30) = sqrt(3)/3

sin(90) = 1

tan(60) = sqrt(3)

cot(60) = 1/sqrt(3) = sqrt(3)/3

sqrt(3)/3 + 1 + sqrt(3)/3

1 + 2sqrt(3)/3

3 0
3 years ago
Fatima plotted one side of a heptagon on a grid. the points (-8,1) and (-8,8) are joined to form a side of the heptagon. Fatima
Reil [10]

The general formula for the distance between two points is

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Anyway, if A and B have the same x or y coordinates, this formula can be simplified. For example, in this case the two points have the same x coordinate of -8, so the following part of the formula simplifies:

(A_x-B_x)^2 = (-8-(-8))^2 = (-8+8)^2 = 0^2 = 0

So, we're left with

d(A,B) = \sqrt{(A_y-B_y)^2}

but the square root of a square is the absolute value of the object being squared:

d(A,B) = \sqrt{(A_y-B_y)^2} = |A_y-B_y|

which is this case means |1-8| = |-7| = 7

which is the correct length of the side.

4 0
3 years ago
Read 2 more answers
In the expression 2a-5+4a-9, name the constants​
Vika [28.1K]

Answer:

-5 and -9 are the constants, can also be written -14

4 0
3 years ago
Angle $eab$ is a right angle, and $be = 9$ units. what is the number of square units in the sum of the areas of the two squares
Alla [95]
Let the measure of side AB be x, then, the measue of side AE is given by

AE=\sqrt{9^2-x^2}.

Now, ABCD is a square of size x, thus the area of square ABCD is given by

Area=x^2

Also, AEFG is a square of size \sqrt{9^2-x^2}, thus, the area of square AEFG is given by

Area=\left(\sqrt{9^2-x^2}\right)^2=9^2-x^2=81-x^2

<span>The sum of the areas of the two squares ABCD and AEFG is given by

x^2+81-x^2=81

Therefore, </span>the number of square units in the sum of the areas of the two squares <span>ABCD and AEFG is 81 square units.</span>
8 0
3 years ago
Other questions:
  • Instructions:Select the correct answer. Shaun and Trudy are selling raffle tickets. So far, Shaun has sold x tickets. Trudy has
    9·1 answer
  • What is the distance between A and B? Round your answer to the nearest hundredth.
    6·1 answer
  • Choose the answer that best completes the sentence.
    12·1 answer
  • Which expression is equivalent to 15a^8b^4/5a^4b
    14·2 answers
  • Is it A,B,C,D.... pls explain thank you
    13·2 answers
  • What's 1.625 rounded to the nearest hundreth
    12·2 answers
  • What is the surface area of the cylinder in terms of pi <br> Radius 8in <br> Height 20in
    5·1 answer
  • I need help quick!!!!!!!!!!!!!!!!!
    11·1 answer
  • Find the distance between (5, 9) &amp; (-7, -7). Round to the nearest tenth.
    10·1 answer
  • Mrs. Silva is taking her family to Arctic Dome ice rink. The employee she spoke to on the phone said the total cost for all 5 of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!