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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 value of c in the equation 12 c minus 53 = 91?
dmitriy555 [2]

Answer:

c=12

Step-by-step explanation:

12c - 53= 91

12c=144

c=12

5 0
3 years ago
Which best describes the transformation from the graph of f(x)2 to the graph of f(x)=(x-3)2-1
____ [38]
The giving functions are from dofferent types. transforming a function does not change it's type so it is impossible to transfer f(x)=2 to f(x)=(x-3)^2-1.
5 0
3 years ago
A manufacturer is designing a flashlight. For the flashlight to emit a focused beam, the bulb needs to be on the central axis of
aalyn [17]
From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12

Source:
http://www.1728.org/quadr4.htm




5 0
3 years ago
PLEASE HELP !!!!!!!!!
iVinArrow [24]

Answer:

f (x) = 4,500 + 250x; 24 months

Step-by-step explanation:

Because 10,500 - 4,500 = 6,000

6,000 / 250 = 24

Hope this helped

4 0
3 years ago
Find the area of this triangle​
creativ13 [48]

Answer:

The area should be 170

Step-by-step explanation:

L× W =70×10=170

5 0
3 years ago
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