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21.09.2021 •
Mathematics
Ella has five fact cards about Venn diagrams. Draw Ella's diagram showing the number of elements in each region.
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Ответ:
The correct answer is: [B]: " (x + 5) " .
Explanation:
To solve:
Given:
" x² + 13x + 40 " ; factor into "two terms" ;
→ that is; "factor into 2 (two) binomial expressions" .
What 2 (two) factors of: "+ 40" add up to " + 13 " ? ;
+ 40, + 1 ?? ; → +40 + (+1) = +41 ; → + 41 ≠ + 13 ;
- 40 + (-1) ?? ; → - 40 + (-1) = - 40 - 1 = - 41 ; → - 41 ≠ +13 ;
+8, + 5 ?? ; → + 8 + 5 = + 13 ; → + 13 = + 13 . Yes!
So; the factors of: " x² + 13x + 40 " ;
are: " (x + 5) (x + 8) " .
Among this 2 (two) binomial factors: "(x + 5)" AND: "(x + 8)" ;
one of these: " (x + 5) " — appears among the answer choices provided;
→ which is: [B]: " (x + 5) " .
The correct answer is: [B]: " (x + 5) " .
Hope this helps!
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within the community!