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ANTONII [103]
3 years ago
7

Why does using FOIL on polynomial expressions match so closely to integer multiplication?

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0
<span> FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. </span>
<span>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. </span>

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

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

<span>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. </span>
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OLga [1]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Jaiden ran a 100 yard dash three times and took the average of his times. His times were 12.7, 11.2 and 11.8 seconds. On average
tekilochka [14]

Using the mean concept, it is found that on average, it takes him 11.9 seconds to run a 100 yard dash.

<h3>What is the mean?</h3>

The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.

In this problem, the three observations are given by:

12.7 s, 11.2 s, 11.8 s.

Hence the mean is:

M = (12.7 + 11.2 + 11.8)/3 = 11.9.

On average, it takes him 11.9 seconds to run a 100 yard dash.

More can be learned about the mean of a data-set at brainly.com/question/24628525

#SPJ1

4 0
2 years ago
What’s the axis of symmetry and the vertex of x^2-4x-32
konstantin123 [22]
<span>x^2 -4x -32
</span>a =1b= -4c= -32
The x,y points of the vertex are usually referred to as Vertex = (h, k)where h = -b / (2 * a)
h = --4 / (2 * 1)h = 4 / 2h = 2
k = ah^2 +bh + ck =1*4 -4*2 -32k = 4 -8 -32k = -36
vertex = (2, -36)axis of symmetry = x position = 2
Source:http://www.1728.org/quadr3.htm

6 0
3 years ago
Find the distance between points (2,-9) and (-1,4) using the distance formula
defon
If you use the square root and put it in (-1-2)^2+(4--9)^2 it will equal = 13.34166406
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3 years ago
How to classify a system and give the number of solutions
Leokris [45]
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3) dependent system. equations have same slope and y-intercept(same line)independent system.

4) equations have different slopes(2 intersecting lines)

im not sure if thats what you were looking for

3 0
3 years ago
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