What is the coefficient of x² in the sum of the polynomials p(x) = 3x³ − 2x² + 5x − 1 and q(x) = −x³ + 7x² − 4x + 6?
Answer and explanation
Correct answer: 5
When adding polynomials, coefficients of like powers are added. The coefficients of x² are −2 and 7, so the coefficient in the sum is −2 + 7 = 5. Option C gives only the x² coefficient of q(x), not of the complete sum. Exam tip: group terms having the same power before adding polynomials.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
When adding polynomials, coefficients of like powers are added. The coefficients of x² are −2 and 7, so the coefficient in the sum is −2 + 7 = 5. Option C gives only the x² coefficient of q(x), not of the complete sum. Exam tip: group terms having the same power before adding polynomials.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
