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
Contact [7]
3 years ago
14

Write as a product of two polynomials. a(b–c)+d(c–b)

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

The product of two polynomial is (b - c)(a - d)

Step-by-step explanation:

Let us explain the meaning of polynomial

A polynomial is an expression consisting of:

  • Variables
  • Coefficients
  • Involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

∵ a(b - c) + d(c - b)

∵ We need to write it as a product of two polynomials

- That means factorize it to have two brackets multiplied by

   each other and each one has 2 terms

∵ The bracket (c - b) can be written as (-b + c)

- Take (-1) as a common factor from the bracket (-b + c)

∵ -b ÷ (-1) = b

∵ c ÷ (-1) = -c

∴ (-b + c) = - (b - c)

- Substitute it in the expression above

∴ a(b - c) + d(c - b) = a(b - c) + d(-1)(b - c)

∵ d(-1) = -d

∴ a(b - c) + d(c - b) = a(b - c) - d(b - c)

Let us factorize the expression a(b - c) - d(b - c)

The bracket (b - c) is a common factor of the two terms

∵ (b - c) is a common factor of the two terms of the expression

∵ a(b - c) ÷ (b - c) = a

∵ - d(b - c) ÷ (b - c) = - d

∴ a(b - c) - d(b - c) = (b - c)(a - d) ⇒ product of 2 polynomial

The product of two polynomial is (b - c)(a - d)

Learn more:

You can learn more about factorization in brainly.com/question/7932185

#LearnwithBrainly

You might be interested in
Can I have help solving this?
tensa zangetsu [6.8K]

4^2 + 2(4 + 6)

4^2 + 2(10)

16 + 2(10)

16 + 20

36

3 0
3 years ago
Find the slope of each graph. Express the answer in simplest form.help ​
Licemer1 [7]

Answer:

I think the slope is, as a point on the graph, (0,4).

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Half a number plus 2.5 times that number equals 18. What is the number?
Sholpan [36]

Answer:

It's 6.

Step-by-step explanation:

this was so confusing

4 0
3 years ago
Pls someone I need help
Vedmedyk [2.9K]

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

5 0
3 years ago
3+ (1/4)a = 31<br> need help !!
Olin [163]

Answer:

=

1

1

2

Step-by-step explanation:

.

3 0
3 years ago
Other questions:
  • Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob
    5·2 answers
  • An urn contains ten chips. An unknown number of chips are white' the others are red. We wish to test:
    8·1 answer
  • A) Function<br> B) Not a function
    11·1 answer
  • Nathan is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will incre
    6·1 answer
  • 2.95 dollars for a notebook with 5 percent ttax
    9·1 answer
  • Can x-2 be the remainder on division of a polynomial by x+3
    11·1 answer
  • Christina put 15 vegetables on her tray. If 1/5 of the vegetables were carrots, how many carrots were on the tray?
    6·2 answers
  • Which table shows the same relationship as the graph? Explain thank you!
    9·1 answer
  • Find the area of the shape​
    5·1 answer
  • josephine has three chemistry books, three history books, and nine statistics books. she wants to choose one book of each type t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!