The correct answer is: [A]: " 2x³ + 7x² + 12x − 8 " .
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Explanation:
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Given:
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" (x² + 4x + 8) (2x − 1) " ; Find the product:
↔ " (2x − 1) (x² + 4x + 8) " ;
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Note: " (a + b) (c + d + e) = ab + ad + ae + bc + bd + ae " .
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→ " (2x − 1) (x² + 4x + 8) =
(2x * x²) + (2x * 4x) + (2x *8) + (-1 * x²) + (-1 * 4x) + (-1 * 8) ;
= 2x³ + 8x² + 16x + (-1x²) + (-4x) + (-8) ;
= 2x³ + 8x² + 16x − x² − 4x − 8) ;
→ Combine the "like terms" :
+ 8x² − x² = + 7x² ;
+ 16x − 4x = + 12x ;
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And rewrite the expression:
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→ " 2x³ + 7x² + 12x − 8 " ;
→ which is: Answer choice: [A]: " 2x³ + 7x² + 12x − 8 " .
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Answer:
there are 5 roots,
Step-by-step explanation:
The area of a rectangle can be represented as:
Area = Length x Width
10x2 – 13x – 14 can be factorised as:
(x – 2) (10x + 7)
Therefore the width and length are:
(x – 2) and (10x + 7)
Hope that helps you :)
Answer:
<h2>The answer is
.</h2>
Step-by-step explanation:
Total number of consumers is (1134 + 2) = 1136.
Among these people, 1134 will be able to recognize the brand Pepsi.
The required probability is the ratio between the members who will recognize Pepsi and the total number of consumers. Here the probability will be the ratio between 1134 and 1136.
Hence, the required probability is 
.
