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ompare and Contrast: Use the canvas below to, simplify (3x + 8)(x + 1) using a table, the Distributive Prope nd the FOIL method. hich method is the most efficient? Explain. Show Your Work 3x+8Xx 1) 3x 8x + 1) watrehe ee

ompare and Contrast: Use the canvas below to, simplify (3x + 8)(x + 1) using a table, the Distributive Prope nd the FOIL method. hich method is the most efficient? Explain. Show Your Work 3x+8Xx 1) 3x 8x + 1) watrehe ee

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A Check for Understanding 6: Multi x O Check for Understanding 6: Multi x Meet kds- kilyc-gtw tive.com/formatives/601a36893f1574d493a7c783 Byfvgr&esV Done Compare and Contrast: Use the canvas below to, simplify (3x + 8)(x + 1) using a table, the Distributive Property and the FOIL method. Which method is the most efficient? Explain. Show Your Work 3x + 8XX - 1) Bx - BXx + 1) watrene
Transcribed Image Text:A Check for Understanding 6: Multi x O Check for Understanding 6: Multi x Meet kds- kilyc-gtw tive.com/formatives/601a36893f1574d493a7c783 Byfvgr&esV Done Compare and Contrast: Use the canvas below to, simplify (3x + 8)(x + 1) using a table, the Distributive Property and the FOIL method. Which method is the most efficient? Explain. Show Your Work 3x + 8XX - 1) Bx - BXx + 1) watrene
Expert Solution
Step 1

Let us consider y=3x+8x+1

First, let us simplify using table.

Let, the simplified form of y be 

y=ax2+bx+c                            (i)

Table for y is given below.

x y
0 8
1 22
2 42
3 68

Substituting x=0 in (i), it results c=8. So, 

y=ax2+bx+8                       (ii)

Again, substituting x=1,2 in (ii), 

a+b+8=224a+2b+8=68                       (iii)

On solving (iii), it results a=3 and b=11

So, simplification of y yields

3x+1x+1=3x2+11x+8

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