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If both zeroes of (p(x)=2x^2+kx+8) are equal, what is the value of (k^2)?
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Answer and explanation
Correct answer: 64
For a quadratic polynomial to have equal zeroes, its discriminant must be zero. Thus, using (b^2-4ac=0), we get (k^2-4\cdot2\cdot8=0), so (k^2=64). Therefore, option A is correct. Exam tip: For equal zeroes of a quadratic, set the discriminant to zero.
Frequently asked questions
What is the correct answer to this question?
64
Why is this the correct answer?
For a quadratic polynomial to have equal zeroes, its discriminant must be zero. Thus, using (b^2-4ac=0), we get (k^2-4\cdot2\cdot8=0), so (k^2=64). Therefore, option A is correct. Exam tip: For equal zeroes of a quadratic, set the discriminant to zero.
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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