If p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?
Answer and explanation
Correct answer: 2√2
For a quadratic polynomial ax² + bx + c, the sum of its zeroes is −b/a. In this polynomial, a = 2 and b = −4√2. Substitution gives the sum = −(−4√2)/2 = 4√2/2 = 2√2. The constant term 4 is used for the product of the zeroes, not their sum. Hence option A is correct. Option B would result from forgetting to divide by the leading coefficient, option C from an incorrect division by 4, and option D confuses the constant term with the sum. The irrational coefficient does not change the standard relation.
Frequently asked questions
What is the correct answer to this question?
2√2
Why is this the correct answer?
For a quadratic polynomial ax² + bx + c, the sum of its zeroes is −b/a. In this polynomial, a = 2 and b = −4√2. Substitution gives the sum = −(−4√2)/2 = 4√2/2 = 2√2. The constant term 4 is used for the product of the zeroes, not their sum. Hence option A is correct. Option B would result from forgetting to divide by the leading coefficient, option C from an incorrect division by 4, and option D confuses the constant term with the sum. The irrational coefficient does not change the standard relation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
