If the two zeros of the polynomial x^3 – 9x^2 -x + 9, are 1 and 9, then the third zero is ________(a) 9(b) 1(c) 2(d) -1The question was asked during an interview for a job.My doubt stems from Zeros and Coefficients of Polynomial topic in division Polynomials of Mathematics – Class 10

If the two zeros of the polynomial x^3 – 9x^2 -x + 9, are 1 and 9, t

1.	If the two zeros of the polynomial x^3 – 9x^2 -x + 9, are 1 and 9, then the third zero is ________(a) 9(b) 1(c) 2(d) -1The question was asked during an interview for a job.My doubt stems from Zeros and Coefficients of Polynomial topic in division Polynomials of Mathematics – Class 10
Answer» Right answer is (d) -1 The best I can explain: The given polynomial is x^3 – 9x^2 – x + 9. The TWO zeros of the polynomial are 1 and 9. We KNOW that, the sum of zeros of the polynomial or α + β + γ = \(\frac {-COEFFICIENT \, of \, x^2}{coefficient \, of \, x^3} = \frac {9}{1}\) 1 + 9 + γ =9 γ = 9 – 10 = -1

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If the two zeros of the polynomial x^3 – 9x^2 -x + 9, are 1 and 9, then the third zero is ________(a) 9(b) 1(c) 2(d) -1The question was asked during an interview for a job.My doubt stems from Zeros and Coefficients of Polynomial topic in division Polynomials of Mathematics – Class 10

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