Which statement is always true if a quadratic polynomial has rational coefficients and one zero is (\sqrt{13})?
Answer and explanation
Correct answer: The other zero will be (-\sqrt{13})
For rational coefficients, the conjugate (-\sqrt{13}) of (\sqrt{13}) also appears when the linear coefficient is rational. This follows from (a+\sqrt{b}) and (a-\sqrt{b}).
Frequently asked questions
What is the correct answer to this question?
The other zero will be (-\sqrt{13})
Why is this the correct answer?
For rational coefficients, the conjugate (-\sqrt{13}) of (\sqrt{13}) also appears when the linear coefficient is rational. This follows from (a+\sqrt{b}) and (a-\sqrt{b}).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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