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Hey:) can you please help me posted picture of question

Hey:) can you please help me posted picture of question-example-1
User Lejla
by
6.0k points

2 Answers

7 votes
Lets get started :)

The question asks us to solve by using a table
( 2x² + 5x + 3 )( 4x - 8 )

Our table will be:
2x² | 5x | 3
4x | 8x³ | 20x² | 12x
- 8 | - 16x² | - 40x | - 24

Now add all the terms you have found and combine any like-terms
8x³ + 20x² + 12x - 16x² - 40x - 24
8x³ + 20x² - 16x² + 12x - 40x - 24

8x³ + 4x² - 28x - 24

Your answer will be
\boxed {Option\ B }

User Axel Amthor
by
6.6k points
3 votes
Option B gives the correct answer.

The step by step solution is listed below:


(2 x^(2) +5x+3)(4x-8) \\ \\ =4x(2 x^(2) +5x+3)-8(2 x^(2) +5x+3) \\ \\ =8 x^(3)+20 x^(2) +12x-16 x^(2) -40x-24 \\ \\ =8 x^(3)+4 x^(2) -28x-24
User Nigel Davies
by
6.1k points