If (c=-2), what is the value of (2c^3+c^2)?
Answer and explanation
Correct answer: -12
Given \(c=-2\), \(2c^3+c^2=2(-2)^3+(-2)^2=2(-8)+4=-16+4=-12\). Therefore, \(-12\) is correct. Since \(c^3\) has an odd exponent, it remains negative, whereas \(c^2\) has an even exponent and is positive. Exam tip: When substituting a negative value, check whether each exponent is odd or even.
Frequently asked questions
What is the correct answer to this question?
-12
Why is this the correct answer?
Given \(c=-2\), \(2c^3+c^2=2(-2)^3+(-2)^2=2(-8)+4=-16+4=-12\). Therefore, \(-12\) is correct. Since \(c^3\) has an odd exponent, it remains negative, whereas \(c^2\) has an even exponent and is positive. Exam tip: When substituting a negative value, check whether each exponent is odd or even.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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