Use Descartes' Rule of Signs to Find the Number of Possible

question 25

Multiple Choice

Use Descartes' rule of signs to find the number of possible positive, negative, and nonreal roots for the following equation. $$7 x ^ { 3 } + 5 x ^ { 2 } - 8 x + 8 = 0$$

• A) \(\quad 0\) or 2 positive; 1 negative; 0 or 2 nonreal
• B) \(\quad 0\) positive; 0 negative; 3 nonreal
• C) \(\quad 1\) positive; 0 or 2 negative; 0 or 2 nonreal
• D) \(\quad\) l positive; 1 negative; 1 nonreal
• E) none of these

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Definitions:

Concrete Operations

The stage in Piaget's theory of cognitive development in which children aged about 7 to 12 years become capable of logical thought processes but are not yet adept at abstract reasoning.

Preoperational

Pertains to Piaget’s stage of cognitive development (typically ages 2-7) in which children start to use language to explore and understand their environments, but do not yet use logical mental operations.

Sensorimotor

Referring to the developmental stage in Piaget's theory of cognitive development, where infants learn through interacting with the world using their senses and motor abilities.

Egocentrism

A cognitive bias where individuals overemphasize their own point of view at the expense of others' perspectives.