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
Novay_Z [31]
3 years ago
8

B. Why does using FOIL on polynomial expressions match so closely to integer

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0
FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.

For instance, if we multiply the two expressions
(x + 1) (x + 2)
then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].

Now, compare this to multiplying a pair of two-digit integers:
37 × 43
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3)
= 1200 + 90 + 280 + 21
= 1591

The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.
You might be interested in
What is the common difference of 80,60,45,33.75
GenaCL600 [577]

Answer:

The common difference (or common ratio) = 0.75

Step-by-step explanation:

i) let the first term be a_{1} = 80

ii) let the second term be a_{2}  = a_{1} . r = 80 × r = 60      ∴  r = \frac{60}{80} = 0.75

iii) let the third term be     a_{3}  = a_{2} . r = 60 × r = 45      ∴  r = \frac{45}{60} = 0.75

iv) let the fourth term be   a_{4} = a_{3} . r = 45 × r = 33.75   ∴ r = \frac{33.75}{45} = 0.75

Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.

4 0
3 years ago
Name an event that has a probability of 2/7
damaskus [11]

Answer:

2/7

Step-by-step explanation:

7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?

5 0
2 years ago
An algebraic expression that may contain numbers, variables, and exponents.
erica [24]

Answer:

3x^2 + 7xy + 5

Step-by-step explanation:

3 0
2 years ago
Order 2/3, 2/9, 5/6, 11/18 from least to greatest.
ollegr [7]

Answer:

2/9, 2/3, 8/11, 5/6.

8 0
3 years ago
Read 2 more answers
Bianca deposits $3000 in a savings account earning 4.25% simple interest per year. How much interest will Bianca earn for a peri
zloy xaker [14]

Answer:

$637.50

step by step explanation :

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

6 0
3 years ago
Other questions:
  • Find the polar equation for the cartesian curve x^2-y^2 = sqrt(x^2+y^2)
    9·1 answer
  • Find the following quantity.
    11·2 answers
  • According to the general equation for conditional probability, if (image attached)
    13·2 answers
  • Exaplain how you can determine whether three metal rods can be join to from a triangle
    10·2 answers
  • Which of the quadratic functions is written in vertex form?
    7·1 answer
  • What is the final amount if 893 is decreased by 2% followed by a further 7% decrease? Give your answer rounded to 2 DP.
    6·1 answer
  • What is the domain of the function y=2 sqrt x-6 ?
    9·2 answers
  • Noah spent some of his allowance money on Monday. He spent 1/6 of his allowance on Tuesday and 3/6 of it on Friday. Noah has non
    10·1 answer
  • What quantity of sugar would you need to make a half recipe?
    10·1 answer
  • The pathway of a frog jumping onto a lily pad can be represented by the equation h= -0.5t^2 +3t+2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!