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
AnnyKZ [126]
3 years ago
11

Find the product of the following polynomials:

Mathematics
1 answer:
qaws [65]3 years ago
5 0

Answer:

A)  -84x^3 - 8x

B)  -91x^4 + 143x^2 - 65x

C)  12b^2 - 7b - 10.

D)  16x^2 - 72x + 81

Step-by-step explanation:

A) -4x(21x^2-3x+2)  

B) -13x(7x^3-11x+5)

C) (3b+2)(4b-5)

D) (4x-9)^2

In A) -4x(21x^2-3x+2)  we are multiplying the binomial (21x^2-3x+2)  by the monomial -4x; there are two multiplications involved:  

-4x(21x^2) = -84x^3

and

-4x(-3x+2) = +12x^2 - 8x.

Hence A) -4x(21x^2-3x+2)   = -84x^3 - 8x

B)  The work done to find the product in B) is similar:  Multiply each term in 7x^3-11x+5 by -13x:

The end result is -91x^4 + 143x^2 - 65x

C) Here we are multiplying together two binomials; we use the FOIL method:  Multiply together the First terms, then the Outer terms, then the Inner terms, and finally the Last terms.  This results in:

(3b+2)(4b-5)  = 12b^2 -15b + 8b -10, or, after simplification, 12b^2 - 7b - 10.

In D) we are squaring a binomial.  The formula for this is:

(a - b)^2 = a^2 - 2ab + b^2.  Here,

(4x - 9)^2 = 16x^2 - 2(36x) + 81, or 16x^2 - 72x + 81

You might be interested in
Convert.<br> {} {}<br> minutes ==equals 888 hours 373737 minutes
soldi70 [24.7K]

9514 1404 393

Answer:

  517 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so 8×60 = 480 minutes in 8 hours.

In 8 hours 37 minutes, there are ...

  480 min + 37 min = 517 minutes

5 0
2 years ago
What is the equation of the line through the origin and (-5, 6) <br><br>I hate try it's .-.​
vazorg [7]

Answer:

y=-\frac{6}{5} x

Step-by-step explanation:

y=-6/5x+0

y=-6/5x

6 0
2 years ago
Read 2 more answers
the area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. find a if it
Goshia [24]

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

6 0
3 years ago
Solve the equation for y. 4x - 5y = 9
babymother [125]

Answer:

y = (4x - 9) / 5 or y = 4/5x - 9/5

Step-by-step explanation:

Solving for y

4x - 5y = 9

-5y = -4x + 9

5y = 4x - 9

y = (4x - 9) / 5 or y = 4/5x - 9/5

3 0
3 years ago
Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​ width, the lower class​ limits,
Gennadij [26K]

Using proportions and the information given, it is found that:

  • The class width is of 14.375.
  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

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

  • Minimum value is 19.
  • Maximum value is of 134.
  • There are 8 classes.
  • The classes are all of equal width, thus the width is of:

W = \frac{134 - 19}{8} = 14.375

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

The intervals will be of:

19 - 33.375

33.375 - 47.750

47.750 - 62.125

62.125 - 76.500

76.500 - 90.875

90.875 - 105.250

105.250 - 119.625

119.625 - 134.

  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

A similar problem is given at brainly.com/question/16631975

6 0
3 years ago
Other questions:
  • Omar owns a sandwich shop, and his best selling sandwich is the BLT. When making BLT sandwiches, it takes of a pound of bacon to
    5·1 answer
  • Ex. 3 A farmer has 3 cylindrical containers to hold feed. Each container has radius 91 cm and height 122 cm. What is the total v
    6·1 answer
  • Rate change word problems. Question attached
    15·1 answer
  • Write the expression as a single logarithm
    12·1 answer
  • Suppose f(x) = x square -8x +20 find x such that f(x) =24
    14·1 answer
  • Can somebody help me with this question
    12·1 answer
  • Identify the type of conic; then the equation to the standard form for that conic: X^2-2x-16y+33=0
    14·1 answer
  • 7√, 4√2, 2√5 from least to greatest
    7·1 answer
  • 4.) You are a Brusher/Bather in a grooming facility. It's the end of the day and you have to split up all the
    6·1 answer
  • Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!