1.

If α and β are the zeros of x^2 + bx + c, then the polynomial having -α, -β as zeros is _______(a) -x^2 – bx + c(b) x^2 + bx + c(c) x^2 – bx + c(d) x^2 – bx – cI got this question at a job interview.Query is from Zeros and Coefficients of Polynomial in division Polynomials of Mathematics – Class 10

Answer»

Right ANSWER is (c) x^2 – BX + c

The best EXPLANATION: α and β are the zeros of x^2 + bx + c

Also, α + β = -B and αβ = c

Now, -α-β = -(-b) = b and -α × -β = c

Hence, the POLYNOMIAL with -α, -β as its zeros will be x^2 – bx + c


Discussion

No Comment Found

Related InterviewSolutions