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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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Let's solve your equation step-by-step.<span><span><span><span>
</span></span></span></span>\frac{-1}{3}<span><span>+w</span>=<span>5</span></span><span>\frac{3}{8}</span>
Step 1: Simplify both sides of the equation.<span><span>
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Step 2: Add \frac{1}{3} to both sides.<span><span><span>
w+</span></span></span>\frac{-1}{3}<span><span>+</span></span><span>\frac{1}{3}</span><span>=</span>\frac{43}{8}<span>+</span><span>\frac{1}{3}</span><span>
w=</span><span>\frac{137}{24}</span>


Answer:<span>w=5</span><span>\frac{17}{24}</span>
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Answer:

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Step-by-step explanation:

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Hope this helps

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a) <e and <c

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