In p(x) = 3x³ − 7x² + 2x − 11, what is the sum of the coefficient of x² and the constant term?
Answer and explanation
Correct answer: −18
In a polynomial written in descending powers, the coefficient of a term is the number multiplying that power, while the constant term is the term without x. In p(x) = 3x³ − 7x² + 2x − 11, the coefficient of x² is −7 and the constant term is −11. Their sum is (−7) + (−11) = −18. Therefore option A is correct. Option B identifies only the constant term, and option C identifies only the x² coefficient; option D does not correctly combine either signed value. Keeping the negative signs is essential when adding the two terms.
Frequently asked questions
What is the correct answer to this question?
−18
Why is this the correct answer?
In a polynomial written in descending powers, the coefficient of a term is the number multiplying that power, while the constant term is the term without x. In p(x) = 3x³ − 7x² + 2x − 11, the coefficient of x² is −7 and the constant term is −11. Their sum is (−7) + (−11) = −18. Therefore option A is correct. Option B identifies only the constant term, and option C identifies only the x² coefficient; option D does not correctly combine either signed value. Keeping the negative signs is essential when adding the two terms.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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